Extension of Isometries on Unit Sphere of $L^\infty$
Work
Year: 2011
Type: article
Abstract: We prove that every surjective isometry between unit spheres of $L^\infty(\Sigma,\Omega, \mu)$ and a Banach space $F$ can be linearly and isometrically extended to the whole space, which means that if... more
Source: Taiwanese Journal of Mathematics
Author Dongni Tan
Institutions Tianjin University of Technology, Nankai University
Cites: 14
Cited by: 26
Related to: 10
FWCI: 1.595
Citation percentile (by year/subfield): 88.25
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze