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Journal of Applied Analysis

Editor-in-Chief: Fechner, Włodzimierz / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw


CiteScore 2018: 0.45

SCImago Journal Rank (SJR) 2018: 0.181
Source Normalized Impact per Paper (SNIP) 2018: 0.845

Mathematical Citation Quotient (MCQ) 2018: 0.20

Online
ISSN
1869-6082
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Volume 21, Issue 1

Issues

Approximate generalized derivations close to derivations in Lie C*-algebras

Madjid Eshaghi / Sadegh Abbaszadeh
Published Online: 2015-05-12 | DOI: https://doi.org/10.1515/jaa-2015-0004

Abstract

We apply a fixed point theorem to prove that there exists a unique derivation close to an approximately generalized derivation in Lie C*-algebras. Also, we prove the hyperstability of generalized derivations. In other words, we find some conditions under which an approximately generalized derivation becomes a derivation.

Keywords: Derivation of Lie algebras; generalized derivation; contractively subhomogeneous; expansively superhomogeneous; fixed point theorem

MSC: 16W10; 16W25; 22E60; 39B52; 39B72

About the article

Received: 2014-03-30

Revised: 2014-10-18

Accepted: 2014-10-23

Published Online: 2015-05-12

Published in Print: 2015-06-01


Citation Information: Journal of Applied Analysis, Volume 21, Issue 1, Pages 37–43, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/jaa-2015-0004.

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[1]
Madjid Eshaghi, Sadegh Abbaszadeh, Manuel de la Sen, and Zahra Farhad
Fixed Point Theory and Applications, 2015, Volume 2015, Number 1

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