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

Eshaghi, M.; Abbaszadeh, S.

doi:10.1515/jaa-2015-0004

Artykuł - szczegóły

Tytuł artykułu

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

Autorzy

Eshaghi M. , Abbaszadeh S.

Identyfikatory

DOI

10.1515/jaa-2015-0004

Warianty tytułu

Języki publikacji

Abstrakty

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.

Słowa kluczowe

derivation of Lie algebras generalized derivation contractively subhomogeneous expansively superhomogeneous fixed point theorem

derywacja algebry Liego pochodna uogólniona twierdzenie o punkcie stałym

Wydawca

De Gruyter

Czasopismo

Journal of Applied Analysis

Rocznik

2015

Tom

Vol. 21, nr 1

Strony

37--43

Opis fizyczny

Bibliogr. 20 poz.

Twórcy

autor

Eshaghi M.

Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

autor

Abbaszadeh S.

Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

Bibliografia

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Typ dokumentu

Bibliografia

Identyfikator YADDA

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