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
Kalenda, Ondřej F. K.; Peralta, Antonio M.; Pfitzner, Hermann On optimality of constants in the little Grothendieck theorem. (English) Zbl 1504.46077 Stud. Math. 264, No. 3, 263-304 (2022). Reviewer: Andreas Defant (Oldenburg) MSC: 46L70 47A30 17C65 PDFBibTeX XMLCite \textit{O. F. K. Kalenda} et al., Stud. Math. 264, No. 3, 263--304 (2022; Zbl 1504.46077) Full Text: DOI arXiv
Hamhalter, Jan; Kalenda, Ondřej F. K.; Peralta, Antonio M.; Pfitzner, Hermann Measures of weak non-compactness in preduals of von Neumann algebras and \(JBW^\ast\)-triples. (English) Zbl 1444.46017 J. Funct. Anal. 278, No. 1, Article ID 108300, 69 p. (2020). MSC: 46B50 46L70 17C65 47H08 PDFBibTeX XMLCite \textit{J. Hamhalter} et al., J. Funct. Anal. 278, No. 1, Article ID 108300, 69 p. (2020; Zbl 1444.46017) Full Text: DOI arXiv
Jamjoom, Fatmah B.; Peralta, Antonio M.; Siddiqui, Akhlaq A.; Tahlawi, Haifa M. Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras. (English) Zbl 1356.41013 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 129-138 (2017). MSC: 41A50 41A52 41A65 46L05 PDFBibTeX XMLCite \textit{F. B. Jamjoom} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 129--138 (2017; Zbl 1356.41013) 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
Hamhalter, Jan; Kudaybergenov, Karimbergen; Peralta, Antonio M.; Russo, Bernard Boundedness of completely additive measures with application to 2-local triple derivations. (English) Zbl 1337.81014 J. Math. Phys. 57, No. 2, 021709, 23 p. (2016). Reviewer: Nicola Cufaro Petroni (Bari) MSC: 81P10 81P16 17C65 46L10 PDFBibTeX XMLCite \textit{J. Hamhalter} et al., J. Math. Phys. 57, No. 2, 021709, 23 p. (2016; Zbl 1337.81014) Full Text: DOI arXiv
Peralta, Antonio M.; Pfitzner, Hermann Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples. (English) Zbl 1347.46007 J. Math. Anal. Appl. 434, No. 1, 149-170 (2016). MSC: 46B04 46B25 46L70 PDFBibTeX XMLCite \textit{A. M. Peralta} and \textit{H. Pfitzner}, J. Math. Anal. Appl. 434, No. 1, 149--170 (2016; Zbl 1347.46007) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Peralta, Antonio M.; Ramírez, María Isabel A Kadec-Pelczyński dichotomy-type theorem for preduals of JBW\(^\ast\)-algebras. (English) Zbl 1338.46079 Isr. J. Math. 208, 45-78 (2015). Reviewer: Hermann Pfitzner (Orléans) MSC: 46L70 46B25 17C65 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Isr. J. Math. 208, 45--78 (2015; Zbl 1338.46079) Full Text: DOI arXiv
Niazi, Mohsen; Peralta, Antonio M. Weak-2-local \({}^{\ast}\)-derivations on \(B(H)\) are linear \({}^{\ast}\)-derivations. (English) Zbl 1348.47029 Linear Algebra Appl. 487, 276-300 (2015). MSC: 47B47 47B49 15A60 47B48 15A86 47L10 PDFBibTeX XMLCite \textit{M. Niazi} and \textit{A. M. Peralta}, Linear Algebra Appl. 487, 276--300 (2015; Zbl 1348.47029) Full Text: DOI arXiv
Isidro, José M. On admissible topologies in JB*-triples. (English) Zbl 1327.58007 Math. Nachr. 288, No. 11-12, 1317-1326 (2015). MSC: 58B12 46G20 57T15 17C65 32M15 14M17 PDFBibTeX XMLCite \textit{J. M. Isidro}, Math. Nachr. 288, No. 11--12, 1317--1326 (2015; Zbl 1327.58007) Full Text: DOI
Peralta, Antonio M.; Pfitzner, Hermann The Kadec-Pełczyński-Rosenthal subsequence splitting lemma for JBW\(^*\)-triple preduals. (English) Zbl 1360.46062 Stud. Math. 227, No. 1, 77-95 (2015). MSC: 46L70 46L51 17C65 46B08 46B04 PDFBibTeX XMLCite \textit{A. M. Peralta} and \textit{H. Pfitzner}, Stud. Math. 227, No. 1, 77--95 (2015; Zbl 1360.46062) Full Text: DOI
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
Hügli, Remo V. Contractivity of projections commuting with inner derivations on JBW\(^{*}\)-triples. (English) Zbl 1248.46044 Integral Equations Oper. Theory 70, No. 1, 101-123 (2011). Reviewer: Antonio M. Peralta (Granada) MSC: 46L70 17C65 PDFBibTeX XMLCite \textit{R. V. Hügli}, Integral Equations Oper. Theory 70, No. 1, 101--123 (2011; Zbl 1248.46044) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Non-commutative generalisations of Urysohn’s lemma and hereditary inner ideals. (English) Zbl 1243.46057 J. Funct. Anal. 259, No. 2, 343-358 (2010). Reviewer: Antonio Fernández López (Malaga) MSC: 46L70 17C65 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, J. Funct. Anal. 259, No. 2, 343--358 (2010; Zbl 1243.46057) Full Text: DOI
Peralta, Antonio M. Some remarks on weak compactness in the dual space of a JB*-triple. (English) Zbl 1126.46046 Tohoku Math. J. (2) 58, No. 2, 149-159 (2006). Reviewer: C. M. Edwards (Oxford) MSC: 46L70 17C65 46L05 PDFBibTeX XMLCite \textit{A. M. Peralta}, Tôhoku Math. J. (2) 58, No. 2, 149--159 (2006; Zbl 1126.46046) Full Text: DOI Link Link