[1] Tingley D. Isometries of the unit spheres. Geom Dedicata, 1987, 22: 371--378

[2] Ding G. The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space. Sci China (Ser A), 2002, 45(4): 479--483

[3]  Ding G. The representation theorem of onto isometric mappings between two unit spheres of l¹(Γ) type spaces and the application to the isometric extension problem. Acta Math Sin (Engl Ser), 2004, 20(6): 1089--1094

[4]  Ding G. The isometric extension problem in the unit spheres of l^p(Γ) (p>1) type spaces. Sci China (Ser A), 2002, 32(11): 991--995

[5]  Ding G. The representation of onto isometric mappings between two spheres of l ^∞ type spaces and the application on isometric extension problem. Sci China (Ser A), 2004, 34(2): 157--164

[6]  Banach S. Theori\v{e} des Op\v{e}rations Lin\v{e}aires. Warszawa: Monografje Matematyczne, 1932

[7]  An G. Isometries on unit spheres of (l ^β_n). J Math Anal Appl, 2005, 301: 249--254

[8]  Fu X H. Isometries on the space (s). Acta Math Sci (Engl Ser), 2006, 26B(3): 502--508

[9]  Liu R. Isometries between the unit spheres of l ^β-sum of strictly convex normed spaces. Acta Math Sinica (Chin Ser), 2007, 50(1): 228--232

[10]  Zhang L. On the isometric extension problem from the unit sphere S(l ^∞₍₂₎) into S(l ^∞₍₃₎). Acta Sci Nat Univ Nankai, 2006, 39(2): 110--112

[11]  Wang J. On extension of isometries between unit spheres of AL_p-spaces (1<p<∞). Proc Amer Math Soc, 2004, 132(10): 2899--2909

[12]  Hou Z. The isometric extension of the into mapping between the unit spheres of AL_p-spaces (1<p<∞). Acta Math Sinica (Chin Ser), 2007, 50(6): 1435--1440

[13]  Lindenstrauss J, Tzafriri L. Classical Banach Spaces II: Function Spaces. Ergebnisse 92. Berlin, Heidelberg, New York: Spring-Verlag, 1979

[14]  Yang X. On extension of isometries between unit spheres of L_p(μ) and L_p(ν, H)(1<p ≠ 2, H is a Hilbert space). J Math Anal Appl, 2006, 323: 985--992

[15]  Ding G. On the extension of isometries between unit spheres of E and C(Ω).  Acta Math Sin (Engl Ser), 2003, 19(4): 793--800

[16]  Fang X, Wang J. On linear extension of isometries between the unit spheres. Acta Math Sinica (Chin Ser), 2005, 48(6): 1109--1112

[17]  Fang X, Wang J. Extension of isometries between the unit spheres of normed space E and C(Ω).  Acta Math Sin (Engl Ser), 2006, 22(6): 1819--1824

[18]  Fu X. The isometric extension of the into mapping from the unit sphere S(E) to S(l ^∞(Γ)).  Acta Math Sin (Engl Ser), 2008, 24(9): 1475--1482

[19]  Fang X, Wang J. Extension of isometries between unit spheres of normed space E and l ¹(Γ).  Acta Math Sinica (Chin Ser), 2008,  51(1): 24--28

[20]  Ding G. The isometric extension of an into mapping from the unit sphere S
[l(Γ)] to the unit sphere S(E).  Acta Math Sci (Engl Ser), 009,  29B(3): 469--479

[21] Ding G. Extension of isometries on the unit sphere of AL-space.  Sci China (Ser A), 2008, 38(5): 541--555

[22]  Ding G. The isometric extension of the into mapping from a L^∞(Γ)-type space to some Banach space. Illinois J Math, 2007, 51(2): 445--453

[23]  Liu R. On extension of isometries between unit spheres of L^∞(Γ)-type space and a Banach space E. J Math Anal Appl, 2007, 333: 959--970

[24]  Ding G. The isometrically linear extensions of into-mappings between two unit spheres of the Asplund generated spaces. to appear

[25]  Fang X. On extension of 1-Lipschitz mappings between two unit spheres of l ^p(Γ) type spaces (1<p<∞). J Math Research and Exposition. to appear

[26]  Liu R. 1-Lipschitz mappings between unit spheres of Banach spaces. Acta Math Sinica (Chin Ser), 2007, 50(5): 1064--1070

[27]  Ding G. On linearly isometric extensions for 1-Lipschitz mappings between unit spheres of AL^p-spaces (p>2).  Acta Math Sinica (Engl Ser), 2010

[28]  Wang R. On extension of 1-Lipschitz mappings between l ¹(Γ) type spaces. Acta Sci Nat Univ Nankai, 2010

[29]  Tan D. Nonexpansive mappings on the unit spheres of some Banach spaces. Bull Aust Math Soc, 2009, 80: 139--146

[30]  Mazur S, Ulam S. Sur less transformations isometriques $d'$espaces vectoriels normés. C R Math Acad Sci Paris, 1932, 194: 946--948

[31]  Day M  M. Normed Linear Spaces. Berlin, Heidelberg, New York: Springer-Verlag, 1973

[32]  Li  L, Ren W Y. On extension of isometries between unit spheres of L^∞ and E. Quaest Math, 2008, 31: 209--218

[33]  Liu R,  Zhang L. On extension of isometries and approximate isometries between unit spheres. J Math Anal Appl, 2009, 352: 749--761

[34]  Tan D. Extension of isometries on unit spheres of L^∞. to appear in Taiwanese J Math

[35]  Fang X. Extension of isometries on the unit sphere of l ^p(Γ) space. Sci China (Ser A), 2010