Mathematical Communications, ( ISI ), Volume (14), No (1), Year (2009-11) , Pages (167-176)

Title : ( Approximate isometries in Hilbert C*-modules )

Authors: Seyyed Alireza Kamel Mirmostafaee ,

Citation: BibTeX | EndNote

Abstract

Abstract. We use the fixed point alternative theorem to prove that, under suitable con- ditions, every A-valued approximate isometry on a Hilbert C*-module over the C*-algebra A can be approximated by a unique A-valued isometry.

Keywords

, Key words: isometric theory of Banach spaces, Hilbert C*-module, Hyers-Ulam stability, fixed point alternative
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@article{paperid:1011511,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Approximate isometries in Hilbert C*-modules},
journal = {Mathematical Communications},
year = {2009},
volume = {14},
number = {1},
month = {November},
issn = {1331-0623},
pages = {167--176},
numpages = {9},
keywords = {Key words: isometric theory of Banach spaces; Hilbert C*-module; Hyers-Ulam stability; fixed point alternative},
}

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%0 Journal Article
%T Approximate isometries in Hilbert C*-modules
%A Kamel Mirmostafaee, Seyyed Alireza
%J Mathematical Communications
%@ 1331-0623
%D 2009

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