Maślany, Natalia On isometries and Tingley’s problem for the spaces \(T[\theta , \mathcal{S}_{\alpha}]\), \(1 \leqslant\alpha < \omega_1 \). (English) Zbl 07791445 Stud. Math. 273, No. 3, 285-299 (2023). MSC: 46B04 46B25 46B45 PDFBibTeX XMLCite \textit{N. Maślany}, Stud. Math. 273, No. 3, 285--299 (2023; Zbl 07791445) 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
Guerrero, Julio Becerra The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces. (English) Zbl 1444.46008 J. Math. Anal. Appl. 489, No. 2, Article ID 124166, 12 p. (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46B04 46B20 PDFBibTeX XMLCite \textit{J. B. Guerrero}, J. Math. Anal. Appl. 489, No. 2, Article ID 124166, 12 p. (2020; Zbl 1444.46008) Full Text: DOI arXiv
Cueto-Avellaneda, María; Peralta, Antonio M. The Mazur-Ulam property for commutative von Neumann algebras. (English) Zbl 1501.46007 Linear Multilinear Algebra 68, No. 2, 337-362 (2020). MSC: 46B04 46E30 PDFBibTeX XMLCite \textit{M. Cueto-Avellaneda} and \textit{A. M. Peralta}, Linear Multilinear Algebra 68, No. 2, 337--362 (2020; Zbl 1501.46007) Full Text: DOI arXiv
Jiménez-Vargas, Antonio; Morales-Campoy, Antonio; Peralta, Antonio M.; Ramírez, María Isabel The Mazur-Ulam property for the space of complex null sequences. (English) Zbl 1421.46012 Linear Multilinear Algebra 67, No. 4, 799-816 (2019). MSC: 46B04 46B25 PDFBibTeX XMLCite \textit{A. Jiménez-Vargas} et al., Linear Multilinear Algebra 67, No. 4, 799--816 (2019; Zbl 1421.46012) Full Text: DOI arXiv
Peralta, Antonio M. Extending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\). (English) Zbl 07037768 Rev. Mat. Complut. 32, No. 1, 99-114 (2019). MSC: 47B49 46A22 46B20 46B04 46A16 46E40 PDFBibTeX XMLCite \textit{A. M. Peralta}, Rev. Mat. Complut. 32, No. 1, 99--114 (2019; Zbl 07037768) Full Text: DOI arXiv
Peralta, Antonio M.; Tanaka, Ryotaro A solution to Tingley’s problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples. (English) Zbl 07033414 Sci. China, Math. 62, No. 3, 553-568 (2019). MSC: 47B49 46A22 46B20 46B04 46A16 46E40 PDFBibTeX XMLCite \textit{A. M. Peralta} and \textit{R. Tanaka}, Sci. China, Math. 62, No. 3, 553--568 (2019; Zbl 07033414) Full Text: DOI arXiv
Peralta, Antonio M. On the unit sphere of positive operators. (English) Zbl 07002033 Banach J. Math. Anal. 13, No. 1, 91-112 (2019). MSC: 47B49 46A22 46B20 46B04 46A16 46E40 PDFBibTeX XMLCite \textit{A. M. Peralta}, Banach J. Math. Anal. 13, No. 1, 91--112 (2019; Zbl 07002033) Full Text: DOI arXiv Euclid
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.; 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
Tanaka, Ryotaro Tingley’s problem on finite von Neumann algebras. (English) Zbl 1371.46009 J. Math. Anal. Appl. 451, No. 1, 319-326 (2017). MSC: 46B04 46B25 46L10 PDFBibTeX XMLCite \textit{R. Tanaka}, J. Math. Anal. Appl. 451, No. 1, 319--326 (2017; Zbl 1371.46009) Full Text: DOI
Ding, Guang Gui The isometric extension problem between unit spheres of two separable Banach spaces. (English) Zbl 1351.46011 Acta Math. Sin., Engl. Ser. 31, No. 12, 1872-1878 (2015). Reviewer: Trond Arnold Abrahamsen (Kristiansand) MSC: 46B04 46B20 PDFBibTeX XMLCite \textit{G. G. Ding}, Acta Math. Sin., Engl. Ser. 31, No. 12, 1872--1878 (2015; Zbl 1351.46011) Full Text: DOI
Tanaka, Ryotaro Tingley’s problem on symmetric absolute normalized norms on \(\mathbb R^2\). (English) Zbl 1312.46020 Acta Math. Sin., Engl. Ser. 30, No. 8, 1324-1340 (2014). MSC: 46B04 46B20 PDFBibTeX XMLCite \textit{R. Tanaka}, Acta Math. Sin., Engl. Ser. 30, No. 8, 1324--1340 (2014; Zbl 1312.46020) Full Text: DOI
Ding, Guang-Gui; Li, Jian-Ze Sharp corner points and isometric extension problem in Banach spaces. (English) Zbl 1306.46011 J. Math. Anal. Appl. 405, No. 1, 297-309 (2013). MSC: 46B20 PDFBibTeX XMLCite \textit{G.-G. Ding} and \textit{J.-Z. Li}, J. Math. Anal. Appl. 405, No. 1, 297--309 (2013; Zbl 1306.46011) Full Text: DOI
Ding, Guang-Gui; Li, Jian-Ze Isometries between unit spheres of the \(\ell^{\infty}\)-sum of strictly convex normed spaces. (English) Zbl 1291.46007 Bull. Aust. Math. Soc. 88, No. 3, 369-375 (2013). Reviewer: Vladimir Kadets (Kharkov) MSC: 46B04 PDFBibTeX XMLCite \textit{G.-G. Ding} and \textit{J.-Z. Li}, Bull. Aust. Math. Soc. 88, No. 3, 369--375 (2013; Zbl 1291.46007) Full Text: DOI
Tan, Dong-Ni Some new properties and isometries on the unit spheres of generalized James spaces \(J_{p}\). (English) Zbl 1252.46006 J. Math. Anal. Appl. 393, No. 2, 457-469 (2012). MSC: 46B04 46B25 PDFBibTeX XMLCite \textit{D.-N. Tan}, J. Math. Anal. Appl. 393, No. 2, 457--469 (2012; Zbl 1252.46006) Full Text: DOI
Ding, Guanggui The isometrical extensions of 1-Lipschitz mappings on Gâteaux differentiability spaces. (English) Zbl 1232.46011 Sci. China, Math. 54, No. 4, 711-722 (2011). MSC: 46B04 46B20 46B22 PDFBibTeX XMLCite \textit{G. Ding}, Sci. China, Math. 54, No. 4, 711--722 (2011; Zbl 1232.46011) Full Text: DOI
Ding, Guang Gui On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of \(AL^p\)-spaces \((p > 2)\). (English) Zbl 1206.46014 Acta Math. Sin., Engl. Ser. 26, No. 2, 331-336 (2010). MSC: 46B04 46A22 46B25 PDFBibTeX XMLCite \textit{G. G. Ding}, Acta Math. Sin., Engl. Ser. 26, No. 2, 331--336 (2010; Zbl 1206.46014) Full Text: DOI
Fang, XiNian; Wang, JianHua Extension of isometries on the unit sphere of \(l ^{p }(\Gamma )\) space. (English) Zbl 1200.46016 Sci. China, Math. 53, No. 4, 1085-1096 (2010). MSC: 46B04 46B20 PDFBibTeX XMLCite \textit{X. Fang} and \textit{J. Wang}, Sci. China, Math. 53, No. 4, 1085--1096 (2010; Zbl 1200.46016) Full Text: DOI
Liu, Rui; Zhang, Lun On extension of isometries and approximate isometries between unit spheres. (English) Zbl 1160.46305 J. Math. Anal. Appl. 352, No. 2, 749-761 (2009). MSC: 46B20 PDFBibTeX XMLCite \textit{R. Liu} and \textit{L. Zhang}, J. Math. Anal. Appl. 352, No. 2, 749--761 (2009; Zbl 1160.46305) Full Text: DOI
Ding, GuangGui The isometric extension of “into” mappings on unit spheres of \(AL\)-spaces. (English) Zbl 1184.46011 Sci. China, Ser. A 51, No. 10, 1904-1918 (2008). MSC: 46B04 PDFBibTeX XMLCite \textit{G. Ding}, Sci. China, Ser. A 51, No. 10, 1904--1918 (2008; Zbl 1184.46011) Full Text: DOI
Fu, Xiao Hong The isometric extension of the into mapping from the unit sphere \(S_{1}(E)\) to \(S_{1}(l^{\infty}(\Gamma))\). (English) Zbl 1162.46015 Acta Math. Sin., Engl. Ser. 24, No. 9, 1475-1482 (2008). MSC: 46B04 46B20 PDFBibTeX XMLCite \textit{X. H. Fu}, Acta Math. Sin., Engl. Ser. 24, No. 9, 1475--1482 (2008; Zbl 1162.46015) Full Text: DOI
Liu, Rui On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\). (English) Zbl 1124.46005 J. Math. Anal. Appl. 333, No. 2, 959-970 (2007). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46B04 PDFBibTeX XMLCite \textit{R. Liu}, J. Math. Anal. Appl. 333, No. 2, 959--970 (2007; Zbl 1124.46005) Full Text: DOI
Jian, Wang On extension of isometries between unit spheres of \(AL_p\)-spaces \((0<p<\infty)\). (English) Zbl 1067.46004 Proc. Am. Math. Soc. 132, No. 10, 2899-2909 (2004). Reviewer: Konrad Swanepoel (Unisa) MSC: 46B04 46B20 46B42 PDFBibTeX XMLCite \textit{W. Jian}, Proc. Am. Math. Soc. 132, No. 10, 2899--2909 (2004; Zbl 1067.46004) Full Text: DOI