Title : ( Some results on σ-DERIVATIONS )
Authors: امین حسینی , محمود حسنی , Asadollah Niknam , Shirin Hejazian ,
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Abstract
Abstract. Let A and B be two Banach algebras and let M be a Banach B-bimodule. Suppose that σ : A → B is a linear mapping and d : A → M is a σ-derivation. We prove several results about automatic continuity of σ- derivations on Banach algebras. In addition, we define a notion for m-weakly continuous linear mapping and show that, under certain conditions, d and σ are m-weakly continuous. Moreover, we prove that if A is commutative and σ : A → A is a continuous homomorphism such that σ 2 = σ then σdσ(A) ⊆ σ(Q(A)) ⊆ rad(A).
Keywords
, σ-derivation, derivation, m-weakly continuous linear mapping, quasi-nilpotent.
@article{paperid:1026782,
author = {امین حسینی and محمود حسنی and Niknam, Asadollah and Hejazian, Shirin},
title = {Some results on σ-DERIVATIONS},
journal = {Annals of Functional Analysis},
year = {2011},
volume = {2},
number = {2},
month = {September},
issn = {2008-8752},
pages = {75--84},
numpages = {9},
keywords = {σ-derivation; derivation; m-weakly continuous linear mapping;
quasi-nilpotent.},
}
%0 Journal Article
%T Some results on σ-DERIVATIONS
%A امین حسینی
%A محمود حسنی
%A Niknam, Asadollah
%A Hejazian, Shirin
%J Annals of Functional Analysis
%@ 2008-8752
%D 2011
