Isometries on the quasi-Banach spaces L p (0 < p < 1)

Authors
Li, Lei Ren, Wei Yun
Citation
Li, Lei et Ren, Wei Yun, Isometries on the quasi-Banach spaces L p (0 < p < 1), Acta mathematica Sinica. English series (Print) , 26(8), 2010, pp. 1519-1524
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
8
Year of publication
2010
Pages
1519 - 1524
Database
ACNP
SICI code
Abstract
We study the extension of isometries between the unit spheres of quasi-Banach spaces L p for 0 < p < 1. We give some sufficient conditions such that an isometric mapping from the the unit sphere of L p(µ) into that of another L p(.) can be extended to be a linear isometry defined on the whole space.