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http://hdl.handle.net/20.500.12358/24018
Titleσ - Quasi Centralizers and Inner Derivations in a Closed Ideal of a Complex Banach Algebra.
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Abstract

In this paper we show that, for a closed ideal J of a unital complex Banach algebra A and for a σ -quasi centralizer element a of J in A we have (i) under certain conditions if b is an element in the center of J and π : J → BL( X ) is an irreducible representation of J on the Banach space X , then π(ba) is a scalar operator. (ii) If σA(a) has empty interior and DaJ is the restriction of the inner derivation of a to J then ( DaJ )3 = 0.

Authors
As’ad, As’ad Y.
TypeJournal Article
Date2008
LanguageEnglish
Published inIUG Journal for Natural and Engineering Studies
SeriesVolume: 16, Number: 1
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [1030]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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