caa a22 4500 605461406 CHVBK 20210128100243.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10114-015-4742-2 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4742-2 Ding Guang School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China aut The isometric extension problem between unit spheres of two separable Banach spaces [Elektronische Daten] [Guang Ding] In this article, we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces. We obtain that under some condition the answer to this problem is affirmative. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Isometric extension nationallicence smooth point nationallicence supporting functional nationallicence set of first category nationallicence set of second category nationallicence residual subset nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/12(2015-12-01), 1872-1878 1439-8516 31:12<1872 2015 31 10114 https://doi.org/10.1007/s10114-015-4742-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4742-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ding Guang School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/12(2015-12-01), 1872-1878 1439-8516 31:12<1872 2015 31 10114