Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. A Kaplansky Theorem for JB*-triples. arXiv:2402.00538 Preprint, arXiv:2402.00538 [math.OA] (2024). BibTeX Cite \textit{F. J. Fernández-Polo} et al., ``A Kaplansky Theorem for JB*-triples'', Preprint, arXiv:2402.00538 [math.OA] (2024) Full Text: DOI arXiv OA License
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
Becerra-Guerrero, Julio; Cueto-Avellaneda, María; Fernández-Polo, Francisco J.; Peralta, Antonio M. On the extension of isometries between the unit spheres of a \(\text{JBW}^{\ast}\)-triple and a Banach space. (English) Zbl 07302693 J. Inst. Math. Jussieu 20, No. 1, 277-303 (2021). MSC: 47B49 46A22 46B20 46B04 46A16 46E40 PDFBibTeX XMLCite \textit{J. Becerra-Guerrero} et al., J. Inst. Math. Jussieu 20, No. 1, 277--303 (2021; Zbl 07302693) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Jordá, Enrique; Peralta, Antonio M. Tingley’s problem for \(p\)-Schatten von Neumann classes. (English) Zbl 1472.46006 J. Spectr. Theory 10, No. 3, 809-841 (2020). MSC: 46B04 47B10 47L20 47B49 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., J. Spectr. Theory 10, No. 3, 809--841 (2020; Zbl 1472.46006) Full Text: DOI arXiv
Fernández-Polo, Francisco J. The minimax principle and related topics in the Jordan setting. (English) Zbl 1461.46072 Linear Algebra Appl. 604, 293-323 (2020). Reviewer: Antonio M. Peralta (Granada) MSC: 46L70 15A42 17C65 47B06 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo}, Linear Algebra Appl. 604, 293--323 (2020; Zbl 1461.46072) Full Text: DOI arXiv
Becerra Guerrero, Julio; Fernández-Polo, Francisco J. Relatively weakly open convex combinations of slices and scattered \(\mathrm{C}^*\)-algebras. (English) Zbl 1455.46012 Mediterr. J. Math. 17, No. 4, Paper No. 117, 23 p. (2020). Reviewer: Ginés López Pérez (Granada) MSC: 46B04 46L05 46B20 PDFBibTeX XMLCite \textit{J. Becerra Guerrero} and \textit{F. J. Fernández-Polo}, Mediterr. J. Math. 17, No. 4, Paper No. 117, 23 p. (2020; Zbl 1455.46012) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Peralta, Antonio M. Low rank compact operators and Tingley’s problem. (English) Zbl 1491.46004 Adv. Math. 338, 1-40 (2018). MSC: 46A22 46B20 46B04 46A16 46E40 47B49 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Adv. Math. 338, 1--40 (2018; Zbl 1491.46004) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Peralta, Antonio M. On the extension of isometries between the unit spheres of von Neumann algebras. (English) Zbl 1403.46009 J. Math. Anal. Appl. 466, No. 1, 127-143 (2018). MSC: 46B04 46L10 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, J. Math. Anal. Appl. 466, No. 1, 127--143 (2018; Zbl 1403.46009) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Peralta, Antonio M. On the extension of isometries between the unit spheres of a \(\mathrm{C}^\ast\)-algebra and \(B(H)\). (English) Zbl 06843537 Trans. Am. Math. Soc., Ser. B 5, 63-80 (2018). MSC: 47B49 46A22 46B20 46B04 46A16 46E40 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Trans. Am. Math. Soc., Ser. B 5, 63--80 (2018; Zbl 06843537) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Peralta, Antonio M. Partial isometries: a survey. (English) Zbl 1386.46042 Adv. Oper. Theory 3, No. 1, 75-116 (2018). MSC: 46L05 17C65 46L70 16U99 47A05 15A09 47L30 46-02 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Adv. Oper. Theory 3, No. 1, 75--116 (2018; Zbl 1386.46042) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Tingley’s problem through the facial structure of an atomic \(JBW^*\)-triple. (English) Zbl 1387.46015 J. Math. Anal. Appl. 455, No. 1, 750-760 (2017). Reviewer: Miguel Martín (Granada) MSC: 46B04 46B20 17C65 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, J. Math. Anal. Appl. 455, No. 1, 750--760 (2017; Zbl 1387.46015) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M.; Villanueva, Ignacio Tingley’s problem for spaces of trace class operators. (English) Zbl 1388.46013 Linear Algebra Appl. 529, 294-323 (2017). Reviewer: Elói M. Galego (Sao Paulo) MSC: 46B04 46B25 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Linear Algebra Appl. 529, 294--323 (2017; Zbl 1388.46013) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Molino, Alexis; Peralta, Antonio M. Local triple derivations on real \(C^*\)-algebras and \(JB^*\)-triples. (English) Zbl 1367.46057 Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 941-955 (2016). MSC: 46L57 47C15 46L70 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 941--955 (2016; Zbl 1367.46057) 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
Burgos, Maria; Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. A Kowalski-Słodkowski theorem for 2-local \({}^\ast\)-homomorphisms on von Neumann algebras. (English) Zbl 1321.46065 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 2, 551-568 (2015). MSC: 46L10 47B49 46L40 46L57 PDFBibTeX XMLCite \textit{M. Burgos} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 2, 551--568 (2015; Zbl 1321.46065) 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
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
Burgos, Maria; Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. Local triple derivations on \(C^{\ast}\)-algebras. (English) Zbl 1303.47048 Commun. Algebra 42, No. 3, 1276-1286 (2014). Reviewer: Janko Bračič (Ljubljana) MSC: 47B47 46L57 PDFBibTeX XMLCite \textit{M. Burgos} et al., Commun. Algebra 42, No. 3, 1276--1286 (2014; Zbl 1303.47048) Full Text: DOI arXiv
Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. A Kaplansky theorem for JB\(^*\)-triples. (English) Zbl 1279.46037 Proc. Am. Math. Soc. 140, No. 9, 3179-3191 (2012). MSC: 46K70 46L05 46L10 46L70 17C65 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Proc. Am. Math. Soc. 140, No. 9, 3179--3191 (2012; Zbl 1279.46037) Full Text: DOI
Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. Weakly compact orthogonality preservers on C\(^*\)-algebras. (English) Zbl 1244.47031 Math. Z. 270, No. 3-4, 709-723 (2012). Reviewer: Matej Brešar (Maribor) MSC: 47B49 47B48 46L99 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Math. Z. 270, No. 3--4, 709--723 (2012; Zbl 1244.47031) Full Text: DOI
Fernández-Polo, Francisco J.; Martínez Moreno, Juan; Peralta, Antonio M. Contractive perturbations in JB\(^*\)-triples. (English) Zbl 1244.46034 J. Lond. Math. Soc., II. Ser. 85, No. 2, 349-364 (2012). Reviewer: Antonio Fernández López (Malaga) MSC: 46L70 17C65 46L05 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., J. Lond. Math. Soc., II. Ser. 85, No. 2, 349--364 (2012; Zbl 1244.46034) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. On the facial structure of the unit ball in the dual space of a JB\(^*\)-triple. (English) Zbl 1226.46063 Math. Ann. 348, No. 4, 1019-1032 (2010). Reviewer: C. M. Edwards (Oxford) MSC: 46L70 17C65 46A55 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Math. Ann. 348, No. 4, 1019--1032 (2010; Zbl 1226.46063) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. A short proof of a theorem of Pfitzner. (English) Zbl 1207.46047 Q. J. Math. 61, No. 3, 329-336 (2010). Reviewer: Dirk Werner (Berlin) MSC: 46L05 46A50 46B03 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Q. J. Math. 61, No. 3, 329--336 (2010; Zbl 1207.46047) 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
Edwards, C. Martin; Fernández-Polo, Francisco J.; Hoskin, Christopher S.; Peralta, Antonio M. On the facial structure of the unit ball in a JB*-triple. (English) Zbl 1204.46039 J. Reine Angew. Math. 641, 123-144 (2010). Reviewer: Antonio Jesus Calderón Martín (Puerto Real) MSC: 46L70 46A55 PDFBibTeX XMLCite \textit{C. M. Edwards} et al., J. Reine Angew. Math. 641, 123--144 (2010; Zbl 1204.46039) Full Text: DOI
Burgos, María; Fernández-Polo, Francisco J.; Garcés, Jorge J.; Peralta, Antonio M. Orthogonality preservers revisited. (English) Zbl 1207.46061 Asian-Eur. J. Math. 2, No. 3, 387-405 (2009). Reviewer: Antonio Fernández López (Malaga) MSC: 46L70 17C65 47B48 46L05 46L40 46B04 PDFBibTeX XMLCite \textit{M. Burgos} et al., Asian-Eur. J. Math. 2, No. 3, 387--405 (2009; Zbl 1207.46061) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Weak compactness in the dual space of a \(JB^*\)-triple is commutatively determined. (English) Zbl 1192.46064 Math. Scand. 105, No. 2, 307-319 (2009). Reviewer: Antonio Jesus Calderón Martín (Puerto Real) MSC: 46L70 46B04 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, Math. Scand. 105, No. 2, 307--319 (2009; Zbl 1192.46064) Full Text: DOI
Burgos, María; Fernández-Polo, Francisco J.; Garcés, Jorge J.; Martínez Moreno, Juan; Peralta, Antonio M. Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples. (English) Zbl 1156.46045 J. Math. Anal. Appl. 348, No. 1, 220-233 (2008). Reviewer: Armando R. Villena (Granada) MSC: 46L70 46L05 46H70 46K70 PDFBibTeX XMLCite \textit{M. Burgos} et al., J. Math. Anal. Appl. 348, No. 1, 220--233 (2008; Zbl 1156.46045) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Compact tripotents and the Stone-Weierstrass theorem for \(C^*\)-algebras and \(JB^*\)-triples. (English) Zbl 1150.46027 J. Oper. Theory 58, No. 1, 157-173 (2007). Reviewer: Sh. A. Ayupov (Tashkent) MSC: 46L70 17C65 46B22 46L05 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, J. Oper. Theory 58, No. 1, 157--173 (2007; Zbl 1150.46027)
Bunce, Leslie J.; Fernández-Polo, Francisco J.; Martínez Moreno, Juan; Peralta, Antonio M. A Saitô–Tomita–Lusin theorem for \(JB^*\)-triples and applications. (English) Zbl 1123.46053 Q. J. Math. 57, No. 1, 37-48 (2006). Reviewer: Armando R. Villena (Granada) MSC: 46L70 17C65 46L05 PDFBibTeX XMLCite \textit{L. J. Bunce} et al., Q. J. Math. 57, No. 1, 37--48 (2006; Zbl 1123.46053) Full Text: DOI
Fernández-Polo, Francisco J.; Peralta, Antonio M. Closed tripotents and weak compactness in the dual space of a JB\(^{\ast}\)-triple. (English) Zbl 1108.46049 J. Lond. Math. Soc., II. Ser. 74, No. 1, 75-92 (2006). Reviewer: C. M. Edwards (Oxford) MSC: 46L70 17C65 46B04 46B22 46L05 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} and \textit{A. M. Peralta}, J. Lond. Math. Soc., II. Ser. 74, No. 1, 75--92 (2006; Zbl 1108.46049) Full Text: DOI
Fernández-Polo, Francisco J.; Martínez, Juan; Peralta, Antonio M. Surjective isometries between real JB*-triples. (English) Zbl 1070.46037 Math. Proc. Camb. Philos. Soc. 137, No. 3, 709-723 (2004). Reviewer: Antonio Fernández López (Malaga) MSC: 46K70 46L70 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., Math. Proc. Camb. Philos. Soc. 137, No. 3, 709--723 (2004; Zbl 1070.46037) Full Text: DOI
Fernández-Polo, Francisco J.; Moreno, Juan Martínez; Peralta, Antonio M. Geometric characterization of tripotents in real and complex JB\(^{*}\)-triples. (English) Zbl 1058.46033 J. Math. Anal. Appl. 295, No. 2, 435-443 (2004). Reviewer: Antonio Fernández López (Malaga) MSC: 46K70 17C65 PDFBibTeX XMLCite \textit{F. J. Fernández-Polo} et al., J. Math. Anal. Appl. 295, No. 2, 435--443 (2004; Zbl 1058.46033) Full Text: DOI