Let X and Y be real Banach spaces. Suppose that the subset sm [S 1 (X)] of the smooth
points of the unit sphere S 1 (X) is dense in S 1 (X). If T 0 is a surjective 1-Lipschitz mapping …

In this paper we study the isometric extension problem and show that every surjective
isometry between the unit spheres of L p (µ)(1< p<∞, p≠ 2) and a Banach space E can be …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series Dec.,
2015, Vol. 31, No. 12, pp. 1872–1878 Published online: November 15, 2015 DOI …

In this paper, we show that if V 0 is a 1-Lipschitz mapping between unit spheres of two AL p-
spaces with p> 2 and− V 0 (S 1 (L p))⊂ V 0 (S 1 (L p)), then V 0 can be extended to a linear …

In this paper, we study the extension of isometries between the unit spheres of some Banach
spaces E and the spaces C (Ω). We obtain that if the set sm. S 1 (E) of all smooth points of …

In this paper, we study the extension of isometrics between the milt spheres of some Banach
spaces E and the spaces C (Ω). We obtain that if the set sm. S [sub 1](E) of all smooth points …

The isometric extension of “into” mappings on unit spheres of AL-spaces Page 1 Science in
China Series A: Mathematics Oct., 2008, Vol. 51, No. 10, 1904–1918 www.scichina.com …

On linear extension of 1-Lipschitz mapping from Hilbert space into a normed space Page 1
Acta Mathematica Scientia 2010,30B(1):161–165 http://actams.wipm.ac.cn ON LINEAR …

This is the first paper to consider the isometric extension problem of an into–mapping
between the unit spheres of two different types of spaces. We prove that, under some …

The representation theorem of onto isometric mappings between two unit spheres of<Emphasis
Type="Italic">l</E Page 1 722 Science in China Ser. A Mathematics 2004 Vol. 47 No. 5 722—729 …