Prof. Dr. Antonio Miguel Peralta

Professor
University of Granada, Spain

Highest Degree
Ph.D. in Mathematics from University of Granada, Spain

My URL
https://livedna.org/34.17205

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Area of Interest:

Mathematics
Mathematical Applications
Mathematical Society
Functional Analysis
Operator Theory

Selected Publications

  1. Fernandez-Polo, F.J. and A.M. Peralta, 2018. Partial isometries: A survey. Adv. Operator Theory, 3: 87-128.
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  2. Peralta, A.M., 2017. Orthogonal forms and orthogonality preservers on real function algebras revisited. Linear Multilinear Algebra, 65: 361-374.
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  3. Niazi, M. and A.M. Peralta, 2017. Weak 2-local derivations on Mn. FILOMAT, 31: 1687-1708.

  4. Jorda, E. and A.M. Peralta, 2017. Stability of derivations under weak-2-local continuous perturbations. Aequationes Mathematicae, 91: 99-114.
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  5. Jorda, E. and A.M. Peralta, 2017. Inner derivations and weak-2-local derivations on the C*-algebra C0(L, A). Integral Equations Operator Theory. 10.1007/s00020-017-2390-x.
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  6. Jamjoom, F.B., A.M. Peralta, A.A. Siddiqui and H.M. Tahlawi, 2017. Inner ideals, compact tripotents and Cebysev subtriples of JB*-triples and C*-algebras. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 111: 129-138.
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  7. Fernandez-Polo, F.J., J.J. Garces, A.M. Peralta and I. Villanueva, 2017. Tingley’s problem for spaces of trace class operators. Linear Algebra Applic., 529: 294-323.
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  8. Fernandez-Polo, F.J. and A.M. Peralta, 2017. Tingley’s problem through the facial structure of an atomic JBW*-triple. J. Math. Anal. Applic., 455: 750-760.

  9. Cabello, J.C. and A.M. Peralta, 2017. On a generalized Semrl’s theorem for weak-2-local derivations on B(H). Banach J. Math. Anal., 11: 382-397.
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  10. Pfitzner, H. and A.M. Peralta, 2016. Weak Banach-Saks Property and Komlós’ theorem for preduals of JBW*-triples. Proc. Am. Math. Soc., 144: 4723-4731.
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  11. Peralta, A.M. and L.L. Stacho, 2016. von Neumann algebra preduals satisfy the linear biholomorphic property. Math. Scand., 118: 277-284.

  12. Peralta, A.M. and H. Pfitzner, 2016. Perturbation of £1-copies in preduals of JBW*-triples. J. Math. Anal. Applic., 434: 149-170.
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  13. Li, L., E. Nieto and A.M. Peralta, 2016. Geometric implications of the M (r, s)-properties and the uniform Kadec-Klee property in JB*-triples. Q. J. Math., 67: 637-651.
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  14. Jamjoom, F.B., A.M. Peralta, A.A. Siddiqui and H.M. Tahlawi, 2016. Extremally rich JB*-triples. Ann. Funct. Anal., 7: 578-592.

  15. Hamhalter, J., K. Kudaybergenov, A.M. Peralta and B. Russo, 2016. Boundedness of completely additive measures with application to 2-local triple derivations. J. Math. Phys., Vol. 57. 10.1063/1.4941988.
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  16. Fernandez-Polo, F.J., A. Molino and A.M. Peralta, 2016. Local triple derivations on real C*-algebras and JB*-triples. Bull. Malaysian Math. Sci. Soc., 39: 941-955.
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  17. Essaleh, A.B.A., A.M. Peralta and M.I. Ramirez, 2016. Weak-local derivations and homomorphisms on C*-algebras. Linear Multilinear Algebra, 64: 169-186.
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  18. Essaleh, A.B.A., A.M. Peralta and M.I. Ramirez, 2016. Corrigendum: Weak-local derivations and homomorphisms on C*-algebras. Linear Multilinear Algebra, 64: 1009-1010.
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  19. Cabello, J.C. and A.M. Peralta, 2016. Weak-2-local symmetric maps on C*-algebras. Linear Algebra Applic., 494: 32-43.
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  20. Burgos, M.J., J.C. Cabello and A.M. Peralta, 2016. Weak-local triple derivations on C*-algebras and JB*-triples. Linear Algebra Applic., 506: 614-627.
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  21. Burgos, M., A.C. Marquez, A. Morales and A.M. Peralta, 2016. Linear maps between C*-algebras preserving extreme points and strongly linear preservers. Banach J. Math. Anal., 10: 547-565.

  22. Ayupov, S., K. Kudaybergenov and A.M. Peralta, 2016. A survey on local and 2-local derivations on C*- and von Neuman algebras. Contemp. Math., 672: 73-126.
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  23. Peralta, A.M., 2015. Positive definite hermitian mappings associated with tripotent elements. Expo. Math., 33: 252-258.
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  24. Peralta, A.M., 2015. A note on 2-local representations of C*-algebras. Operat. Matrices, 9: 343-358.
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  25. Peralta, A.M. and H. Pfitzner, 2015. The Kadec-Pełczyn´ ski-Rosenthal subsequence splitting lemma for JBW*-triple preduals. Stud. Math., 227: 77-95.
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  26. Niazi, M. and A.M. Peralta, 2015. Weak-2-local*-derivations on B(H ) are linear*-derivations (formerly, “Quasi-linear functionals determined by weak-2-local*-derivations on B(H )”). Linear Algebra Applic., 487: 276-300.
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  27. Jamjoom, F.B., A.M. Peralta, A.A. Siddiqui and H.M. Tahlawi, 2015. Cebysev subspaces of JBW*-triples. J. Inequalities Applic., Vol. 2015. 10.1186/s13660-015-0813-2.
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  28. Jamjoom, F.B., A.M. Peralta, A.A. Siddiqui and H.M. Tahlawi, 2015. Approximation and convex decomposition by extremals and the λ-function in JBW∗-triples. Q. J. Math., 66: 583-603.
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  29. Jamjoom, F.B., A.M. Peralta and A.A. Siddiqui, 2015. Jordan weak amenability and orthogonal forms on JB∗-algebras. Banach J. Math. Anal., 9: 126-145.
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  30. Fernandez-Polo, F.J., A.M. Peralta and M. Ramirez, 2015. A Kadec-Pelczyn´ ski dichotomy-type theorem for preduals of JBW*-algebras. Israel J. Math., 208: 45-78.
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  31. Essaleh, A.B.A., M. Niazi and A.M. Peralta, 2015. Bilocal*-automorphisms of B(H ) satisfying the 3-local property. Arch. Math., 104: 157-164.

  32. Burgos, M.J., F.J. Fernandez-Polo, J.J. Garces and A.M. Peralta, 2015. 2-local triple homomorphisms on von Neumann algebras and JBW∗-triples. J. Math. Anal. Appl., 426: 43-63.

  33. Burgos, M., F.J. Fernandez-Polo, J.J. Garces and A.M. Peralta, 2015. A Kowalski-Slodkowski theorem for 2-local*-homomorphisms on von Neumann algebras. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 109: 551-568.
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  34. Peralta, A.M., C.K. Ng, N.C. Wong and J.C. Yao, 2014. Preserver problems on function spaces, operator algebras and related topics. Abstract Applied Anal., Vol. 2014. 10.1155/2014/723685.
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  35. Peralta, A.M. and B. Russo, 2014. Automatic continuity of triple derivations on C*-algebras and JB*-triples. J. Algebra, 399: 960-977.

  36. Kudaybergenov, K., T. Oikhberg, A.M. Peralta and B. Russo, 2014. 2-local triple derivations on von Neumann algebras. Illinois J. Math., 58: 1055-1069.

  37. Garces, J. and A.M. Peralta, 2014. Orthogonal forms and orthogonality preservers on real function algebras. Linear Multilinear Algebra, 62: 275-296.
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  38. Burgos, M., F.J. Fernandez-Polo, J. Garces and A.M. Peralta, 2014. Local triple derivations on C*-algebras. Commun. Algebra, 42: 1276-1286.

  39. Burgos, M., F.J. Fernandez-Polo and A.M. Peralta, 2014. Local triple derivations on JB*triples and C*-algebras. Bull. Lond. Math. Soc., 46: 709-724.

  40. Apazoglou, M. and A.M. Peralta, 2014. Linear isometries between real JB*-triples and C*-algebras. Q. J. Math., 65: 485-503.
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  41. Oikhberg, T., A.M. Peralta and D. Puglisi, 2013. Automatic continuity of orthogonality or disjointness preserving bijections. Revista Matematica Complutense, 26: 57-88.
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  42. Oikhberg, T. and A.M. Peralta, 2013. Automatic continuity of orthogonality preservers on a non-commutative Lp(τ )-space. J. Funct. Anal., 264: 1848-1872.
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  43. Ho, T., A.M. Peralta and B. Russo, 2013. Ternary weakly amenable C*-algebras and JB*-triples. Q. J. Math., 64: 1109-1139.
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  44. Garces, J.J., A.M. Peralta, D. Puglisi and M.I. Ramirez, 2013. Orthogonally additive, orthogonality preserving, holomorphic mappings between C*-algebras. Abstract Applied Anal. Vol. 2013. 10.1155/2013/415354.
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  45. Garces, J. and A.M. Peralta, 2013. Generalised triple homomorphisms and derivations. Can. J. Math., 65: 783-807.

  46. Peralta, A.M. and D. Puglisi, 2012. Orthogonally additive Holomorphic functions on C*-algebras. Operat. Matrices, 6: 621-629.

  47. Fernandez-Polo, F.J., J. Martinez and A.M. Peralta, 2012. Contractive perturbations in JB*-triples. J. Lond. Math. Soc., 85: 349-364.
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  48. Fernandez-Polo, F.J., J. Garces and A.M. Peralta, 2012. Weakly compact orthogonality preservers on C*-algebras. Math. Zeitschrift, 270: 709-723.
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  49. Fernandez-Polo, F.J., J. Garces and A.M. Peralta, 2012. A Kaplansky theorem for JB*-triples. Proc. Am. Math. Soc., 140: 3179-3191.

  50. Oikhberg, T., A.M. Peralta and M. Ramirez, 2011. Automatic continuity of M-norms on C∗-algebras. J. Math. Anal. Applic., 381: 799-811.

  51. Diestel, J., A.M. Peralta and D. Puglisi, 2011. Sequential w‐right continuity and summing operators. Math. Nachrichten, 284: 664-680.
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  52. Burgos, M., J. Garces and A.M. Peralta, 2011. Automatic continuity of biorthogonality preservers between weakly compact JB*-triples and atomic JBW*-triples. Stud. Math., 204: 97-121.

  53. Burgos, M., J. Garces and A.M. Peralta, 2011. Automatic continuity of biorthogonality preservers between compact C*-algebras and von Neumann J. Math. Anal. Applic., 376: 221-230.
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  54. Peralta, A.M., I. Villanueva, J.D.M. Wright and K. Ylinen, 2010. Weakly compact operators and the strong* topology for a Banach space. Proc. R. Soc. Edinburgh Sect. A: Math., 140: 1249-1267.
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  55. Peralta, A.M., I. Villanueva, J.D.M. Wright and K. Ylinen, 2010. Quasi-completely continuous multilinear operators. Proc. R. Soc. Edinburgh Sect. A: Math., 140: 635-649.
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  56. Fernandez-Polo, F.J. and A.M. Peralta, Fernandez-Polo, F.J. and A.M. Peralta, 2010. Non-commutative generalisations of Urysohn’s lemma and hereditary inner ideals. J. Funct. Anal., 259: 343-358.
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  57. Fernandez-Polo, F.J. and A.M. Peralta, 2010. On the facial structure of the unit ball in the dual space of a JB∗-triple. Math. Ann., 348: 1019-1032.
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  58. Fernandez-Polo, F.J. and A.M. Peralta, 2010. A short proof of a theorem of Pfiztner. Q. J. Math., 61: 329-336.

  59. Edwards, C.M., F.J. Fernandez-Polo, C.S. Hoskin and A.M. Peralta, 2010. On the facial structure of the unit ball in a JB*-triple. J. Reine Angew. Math., 641: 123-144.
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  60. Palazuelos, C., A.M. Peralta and I. Villanueva, 2009. Factorizing multilinear operators on Banach spaces and C*-algebras. Stud. Math., 192: 129-146.

  61. Fernandez-Polo, F.J. and A.M. Peralta, 2009. Weak compactness in the dual space of a JB*-triple is commutatively determined. Math. Scand., 105: 307-319.
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  62. Burgos, M., F.J. Fernandez-Polo, J. Garces and A.M. Peralta, 2009. Orthogonality preservers revisited. Asian-Eur. J. Math., 2: 387-405.
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  63. Burgos, M. and A.M. Peralta, 2009. Conorm and essential conorm in C*-algebras. Integr. Equations Operat. Theory, 63: 1-16.
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  64. Palazuelos, C., A.M. Peralta and I. Villanueva, 2008. Orthogonally additive polynomials on C*-algebras. Q. J. Math., 59: 363-374.
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  65. Burgos, M., F.J. Fernandez-Polo, J. Garces, J. Martinez and A.M. Peralta, 2008. Orthogonality preservers in C*-algebras, JB*-algebras and JB*-triples. J. Math. Anal. Applic., 348: 220-233.
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  66. Burgos, M., A. Kaidi, A. Morales, A.M. Peralta and M. Ramirez, 2008. Von Neumann regularity and quadratic conorms in JB*-triples and C*-algebras. Acta Math. Sin., 24: 185-200.
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  67. Peralta, A.M., I. Villanueva, J.D.M. Wright and K. Ylinen, 2007. Topological characterisation of weakly compact operators. J. Math. Anal. Applic., 325: 968-974.
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  68. Peralta, A.M., 2007. Topological characterisation of weakly compact operators revisited. Extracta Math., 22: 215-223.

  69. Fernandez-Polo, F.J. and A.M. Peralta, 2007. Compact tripotents and the Stone-Weierstrass theorem for C*-algebras and JB*-triples. J. Operat. Theory, 58: 157-173.
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  70. Bunce, L.J. and A.M. Peralta, 2007. Dunford-Pettis properties, Hilbert spaces and projective tensor products. J. Funct. Anal., 253: 692-710.
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  71. Peralta, A.M., 2006. Some remarks on weak compactness in the dual space of a JB*-triple. Tohoku Math. J., 58: 149-159.

  72. Peralta, A.M. and I. Villanueva, 2006. The alternative Dunford-Pettis property on projective tensor products. Math. Zeitschrift, 252: 883-897.
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  73. Fernandez-Polo, F.J. and A.M. Peralta, 2006. Closed tripotents and weak compactness in the dual space of a JB*-triple. J. Lond. Math. Soc., 74: 75-92.
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  74. Bunce, L.J., F.J. Fernandez-Polo, J.M. Moreno and A.M. Peralta, 2006. A Saitô-Tomita-Lusin theorem for JB*-triples and applications. Q. J. Math., 57: 37-48.
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  75. Acosta, M.D. and A.M. Peralta, 2006. The alternative Dunford-Pettis property for subspaces of the compact operators. Positivity, 10: 51-63.
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  76. Peralta, A.M., 2005. New advances on the Grothendieck’s inequality problem for bilinear forms on JB*-triples. Math. Inequal. Appl., 8: 7-21.

  77. Guerrero, J.B. and A.M. Peralta, 2005. The Dunford-Pettis and the Kadec-Klee properties on tensor products of JB*-triples. Math. Zeitschrift, 251: 117-130.
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  78. Bunce, L.J. and A.M. Peralta, 2005. The alternative Dunford-Pettis property, conjugations and real forms of C*-algebras. J. Lond. Math. Soc., 71: 161-171.
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  79. Bunce, L.J. and A.M. Peralta, 2005. Spin spaces and positive decomposition of linear maps on ordered Banach spaces. Q. J. Math., 56: 43-52.
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  80. Guerrero, J.B., G.L. Perez, A.M. Peralta and A. Rodriguez-Palacios, 2004. Relatively weakly open sets in closed balls of Banach spaces and real JB*-triples of finite rank. Mathematische Annalen, 330: 45-58.
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  81. Guerrero, J.B. and A.M. Peralta, 2004. Subdifferentiability of the norm and the Banach-stone theorem for real and complex JB*-triples. Manuscripta Math., 114: 503-516.

  82. Fernandez-Polo, F.J., J.M. Moreno and A.M. Peralta, 2004. Geometric characterization of tripotents in real and complex JB∗-triples. J. Math. Anal. Applic., 295: 435-443.
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  83. Fernandez Polo, F.J., J. Martinez and A.M. Peralta, 2004. Surjective isometries between real JB*-triples. Math. Proc. Camb. Phil. Soc., 137: 709-723.
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  84. Bunce, L.J. and A.M. Peralta, 2004. On weak sequential convergence in JB∗-triple duals. Stud. Math., 160: 117-127.

  85. Peralta, A.M., 2003. On the axiomatic definition of real JB*-triples. Mathematische Nachrichten, 256: 100-106.
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  86. Bunce, L. and A. Peralta, 2003. The alternative Dunford-Pettis property in 𝐶*-algebras and von Neumann preduals. Proc. Am. Math. Soc., 131: 1251-1255.
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  87. Ho, T., J. Martinez, A.M. Peralta and B. Russo, 2002. Derivations on real and complex JB*-triples. J. London Math. Soc., 65: 85-102.
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  88. Bunce, L.J. and A.M. Peralta, 2002. Images of contractive projections on operator algebras. J. Math. Anal. Applic., 272: 55-66.
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  89. Peralta, A.M., 2001. On summing operators on JB*-triples. Manuscripta Math., 105: 265-281.

  90. Peralta, A.M., 2001. Little Grothendieck’s theorem for real JB*-triples. Mathematische Zeitschrift, 237: 531-545.

  91. Peralta, A.M. and L.L. Stacho, 2001. Atomic decomposition of real JBW-triples. Q. J. Math., 52: 79-87.
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  92. Peralta, A.M. and A.R. Palacios, 2001. Grothendieck’s inequalities for real and complex JBW*-triples. Proc. London Math. Soc., 83: 605-625.
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  93. Martin, M. and A.M. Peralta, 2001. The alternative Dunford-Pettis property in the predual of a von Neumann algebra. Studia Mathematica, 147: 197-200.

  94. Acosta, M.D. and A.M. Peralta, 2001. An alternative Dunford-Pettis property for JB-triples. Q. J. Math., 52: 391-401.
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  95. Martinez, J. and A.M. Peralta, 2000. Separate weak*-continuity of the triple product in dual real JB*-triples. Mathematische Zeitschrift, 234: 635-646.
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Member since September, 2017