Fernández-Polo, Francisco J.; Garcés, Jorge J.; Li, Lei; Peralta, Antonio M. On the strict topology of the multipliers of a \(\mathrm{JB}^\ast\)-algebra. (English) Zbl 07733902 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 146, 27 p. (2023). MSC: 46L70 46L05 17A40 17C65 47B48 47B47 47B49 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 146, 27 p. (2023; Zbl 07733902) Full Text: DOI arXiv
Essaleh, Ahlem Ben Ali; Peralta, Antonio M. A linear preserver problem on maps which are triple derivable at orthogonal pairs. (English) Zbl 1494.47066 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 146, 31 p. (2021). MSC: 47B49 46L05 46L40 46T20 47B48 17C65 PDFBibTeX XMLCite \textit{A. B. A. Essaleh} and \textit{A. M. Peralta}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 146, 31 p. (2021; Zbl 1494.47066) Full Text: DOI arXiv
Garcés, Jorge J.; Peralta, Antonio M. One-parameter groups of orthogonality preservers on \(C^*\)-algebras. (English) Zbl 1468.46058 Banach J. Math. Anal. 15, No. 1, Paper No. 24, 23 p. (2021). Reviewer: Marina Haralampidou (Athína) MSC: 46L05 46L70 47B48 46K70 46L40 47D03 47B49 46B04 17A40 17C65 PDFBibTeX XMLCite \textit{J. J. Garcés} and \textit{A. M. Peralta}, Banach J. Math. Anal. 15, No. 1, Paper No. 24, 23 p. (2021; Zbl 1468.46058) Full Text: DOI arXiv
Abulhamil, Doha Adel; Jamjoom, Fatmah B.; Peralta, Antonio M. Linear maps which are anti-derivable at zero. (English) Zbl 07270621 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4315-4334 (2020). MSC: 47B47 47B48 46L05 46L57 PDFBibTeX XMLCite \textit{D. A. Abulhamil} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4315--4334 (2020; Zbl 07270621) Full Text: DOI arXiv
Jana, Nabin K.; Karn, Anil K.; Peralta, Antonio M. Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras. (English) Zbl 1434.46033 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2731-2744 (2019). MSC: 46L05 47B48 PDFBibTeX XMLCite \textit{N. K. Jana} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2731--2744 (2019; Zbl 1434.46033) Full Text: DOI arXiv
Burgos, María J.; Sánchez, Javier Cabello; Peralta, Antonio M. Linear maps between C\(^*\)-algebras that are \(^*\)-homomorphisms at a fixed point. (English) Zbl 07048631 Quaest. Math. 42, No. 2, 151-164 (2019). MSC: 47B49 46L05 46L40 46T20 47L99 PDFBibTeX XMLCite \textit{M. J. Burgos} et al., Quaest. Math. 42, No. 2, 151--164 (2019; Zbl 07048631) Full Text: DOI arXiv
Essaleh, Ahlem Ben Ali; Peralta, Antonio M. Linear maps on \(C^\ast\)-algebras which are derivations or triple derivations at a point. (English) Zbl 1509.47049 Linear Algebra Appl. 538, 1-21 (2018). MSC: 47B47 46L05 46H40 PDFBibTeX XMLCite \textit{A. B. A. Essaleh} and \textit{A. M. Peralta}, Linear Algebra Appl. 538, 1--21 (2018; Zbl 1509.47049) Full Text: DOI arXiv
Ayupov, Shavkat; Kudaybergenov, Karimbergen; Peralta, Antonio M. A survey on local and 2-local derivations on \(C^*\)-algebras and von Neumann algebras. (English) Zbl 1365.46059 Russo, Bernard (ed.) et al., Topics in functional analysis and algebra. USA-Uzbekistan conference on analysis and mathematical physics, California State University, Fullerton, CA, USA, May 20–23, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1928-8/pbk; 978-1-4704-3528-8/ebook). Contemporary Mathematics 672, 73-126 (2016). MSC: 46L57 46L05 46L10 46L40 46L70 47B47 PDFBibTeX XMLCite \textit{S. Ayupov} et al., Contemp. Math. 672, 73--126 (2016; Zbl 1365.46059) Full Text: DOI arXiv
Cabello, Juan Carlos; Peralta, Antonio M. Weak-2-local symmetric maps on \(C^\ast\)-algebras. (English) Zbl 1337.47053 Linear Algebra Appl. 494, 32-43 (2016). MSC: 47B49 46L05 46L40 46T20 47L99 PDFBibTeX XMLCite \textit{J. C. Cabello} and \textit{A. M. Peralta}, Linear Algebra Appl. 494, 32--43 (2016; Zbl 1337.47053) Full Text: DOI arXiv
Essaleh, Ahlem Ben Ali; Peralta, Antonio M.; Ramírez, María Isabel Weak-local derivations and homomorphisms on \(C^*\)-algebras. (English) Zbl 1336.47039 Linear Multilinear Algebra 64, No. 2, 169-186 (2016); corrigendum ibid. 64, No. 5, 1009-1010 (2016). MSC: 47B47 46L57 47B44 47B48 47B49 15A86 47L10 PDFBibTeX XMLCite \textit{A. B. A. Essaleh} et al., Linear Multilinear Algebra 64, No. 2, 169--186 (2016; Zbl 1336.47039) Full Text: DOI arXiv
Jamjoom, Fatmah B.; Peralta, Antonio M.; Siddiqui, Akhlaq A. Jordan weak amenability and orthogonal forms on \(\mathrm{JB}^*\)-algebras. (English) Zbl 1408.46067 Banach J. Math. Anal. 9, No. 4, 126-145 (2015). MSC: 46L57 47B47 17B40 46L70 46L05 46L89 43A25 PDFBibTeX XMLCite \textit{F. B. Jamjoom} et al., Banach J. Math. Anal. 9, No. 4, 126--145 (2015; Zbl 1408.46067) Full Text: DOI arXiv Euclid
Essaleh, Ahlem Ben Ali; Niazi, Mohsen; Peralta, Antonio M. Bilocal *-automorphisms of \(B(H)\) satisfying the 3-local property. (English) Zbl 1309.47044 Arch. Math. 104, No. 2, 157-164 (2015). MSC: 47B49 47B48 15A86 47L10 PDFBibTeX XMLCite \textit{A. B. A. Essaleh} et al., Arch. Math. 104, No. 2, 157--164 (2015; Zbl 1309.47044) Full Text: DOI arXiv
Burgos, Maria J.; Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. 2-local triple homomorphisms on von Neumann algebras and JBW*-triples. (English) Zbl 1322.46045 J. Math. Anal. Appl. 426, No. 1, 43-63 (2015). Reviewer: Antonio Jesus Calderón Martín (Puerto Real) MSC: 46L70 47B48 PDFBibTeX XMLCite \textit{M. J. Burgos} et al., J. Math. Anal. Appl. 426, No. 1, 43--63 (2015; Zbl 1322.46045) Full Text: DOI arXiv
Kudaybergenov, Karimbergen; Oikhberg, Timur; Peralta, Antonio M.; Russo, Bernard 2-local triple derivations on von Neumann algebras. (English) Zbl 1332.46055 Ill. J. Math. 58, No. 4, 1055-1069 (2014). MSC: 46L10 46L57 PDFBibTeX XMLCite \textit{K. Kudaybergenov} et al., Ill. J. Math. 58, No. 4, 1055--1069 (2014; Zbl 1332.46055) Full Text: arXiv Euclid
Peralta, Antonio M.; Russo, Bernard Automatic continuity of derivations on \(C^\ast\)-algebras and \(JB^\ast\)-triples. (English) Zbl 1325.46051 J. Algebra 399, 960-977 (2014). Reviewer: Lajos Molnár (Debrecen) MSC: 46H40 46L70 46K70 47B47 46H25 PDFBibTeX XMLCite \textit{A. M. Peralta} and \textit{B. Russo}, J. Algebra 399, 960--977 (2014; Zbl 1325.46051) Full Text: DOI arXiv
Burgos, Maria; Fernández-Polo, Francisco J.; Peralta, Antonio M. Local triple derivations on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples. (English) Zbl 1312.47050 Bull. Lond. Math. Soc. 46, No. 4, 709-724 (2014). Reviewer: Lina Oliveira (Lisboa) MSC: 47B47 46L57 17C65 47C15 46L05 46L08 PDFBibTeX XMLCite \textit{M. Burgos} et al., Bull. Lond. Math. Soc. 46, No. 4, 709--724 (2014; Zbl 1312.47050) Full Text: DOI arXiv