Banach Journal of Mathematical Analysis, ( ISI ), Volume (4), No (2), Year (2010-6) , Pages (121-128)

Title : ( Innerness of Higher Derivations )

Authors: Madjid Mirzavaziri , kimia naranjani , Asadollah Niknam ,

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Abstract

Let A be an algebra. A sequence {dn} of linear mappings on A is called a higher derivation if dn(ab) =Pn k=0 dk(a)dn−k(b) for each a, b 2 A and each nonnegative integer n. In this paper a notion of an inner higher derivation is given. We characterize all uniformly bounded inner higher derivations on Banach algebras and show that each uniformly bounded higher derivation on a Banach algebra A is inner provided that each derivation on A is inner.

Keywords

, Derivation, inner derivation, derivation, higher derivation, inner higher derivation, generating function. holomorphic self-map, composition operator, generally weighted Bloch space
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@article{paperid:1050223,
author = {Mirzavaziri, Madjid and Naranjani, Kimia and Niknam, Asadollah},
title = {Innerness of Higher Derivations},
journal = {Banach Journal of Mathematical Analysis},
year = {2010},
volume = {4},
number = {2},
month = {June},
issn = {1735-8787},
pages = {121--128},
numpages = {7},
keywords = {Derivation; inner derivation; derivation; higher derivation; inner higher derivation; generating function. holomorphic self-map; composition operator; generally weighted Bloch space},
}

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%0 Journal Article
%T Innerness of Higher Derivations
%A Mirzavaziri, Madjid
%A Naranjani, Kimia
%A Niknam, Asadollah
%J Banach Journal of Mathematical Analysis
%@ 1735-8787
%D 2010

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