[1] Mazur S, Ulam S. Sur les transformations isométriques d'espaces vectoriels normés. Comptes Rendus Acad Sci Paris, 1932, 194: 946--948
[2] Baker J A. Isometries in normed spaces. Amer Math Monthly, 1971, 78: 655--658
[3] Tingley D. Isometries of the unit spheres. Geometriae Dedicata, 1987, 22: 371--378
[4] Ding G G. The isometric extension problem in the unit spheres of lp(Γ)(p>1) type spaces. Science in China, 2003, 46(3): 333--338
[5] Ding G G. The representation of onto isometric mappings between two spheres of l∞-type spaces and the application on isometric extension problem. Science in China, 2004, 47(5): 722--729
[6] Ding G G. The representation theorem of onto isometric mapping between two unit spheres of l1 type spaces and the application on isometric extension problem. Acta Math Sinica (English Series), 2004, 20(6): 1089--1094
[7] Wang J. On extension of isometries between unit spheres of ALp-spaces (1<p<∞). Proc Amer Math Soc, 2004, 132(10): 2899--2909
[8] Yang X Z. On extension of isometries between unit spheres of Lp(ν) and Lp(ν, H) (1<p<2, H is a Hilbert space). J Math Anal Appl,
2006, 323: 985--992
[9] An G M. Isometries on unit sphere of l βn. J Math Anal Appl, 2005, 301: 249--254
[10] Fu X H. Isometries on the space s. Acta Math Sci, 2006, 26B(3): 502--508
[11] Ding G G. On the extension of isometries between unit spheres of E and C(Ω). Acta Math Sinica (English Series), 2003, 19(4): 793--800
[12] Fang X N, Wang J H. On the extension of isometries between unit spheres of E and C(Ω). Acta Math Sinica (English Series), 2006, 22(6): 1819--1824
[13] Ding G G. Extension of isometries on the unit spheres of AL-spaces. Science in China, 2008, 51(10): 1904--1918
[14] Liu R. On extension of isometries and approximate isometries between unit spheres. J Math Anal Appl, 2009, 352(2): 749--761
[15] Fang X N, Wang J H. Extension of isometries on the unit sphere of l p(Γ) space. Sci China Math, 2010, 53(4): 1085--1096 |