Title of article
On extension of isometries between unit spheres of Lp(μ) and Lp(ν,H) (1
Author/Authors
Xiuzhong Yang a، نويسنده , , b، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
8
From page
985
To page
992
Abstract
In this paper, we introduce a new class of mapping: p-affinely orthogonal mapping, obtain some relations
with isometric mapping, give some sufficient conditions under which an isometric mapping from unit
sphere of Lp(μ) into (or onto) that of another Banach space can be extended to be a linear isometry on
the whole space, as well as show that any into (or onto) isometric mapping between the spheres of Lp(μ)
and Lp(ν,H) (1
1) type spaces, Sci. China Ser. A 46 (3) (2003) 333–338] and [J. Wang,
On extension of isometries between unit spheres of ALp-spaces (0
Keywords
Bochner integral , Strictly convex , Isometric mapping , Uniformly convex
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934932
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