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http://hdl.handle.net/20.500.12358/24018
Title | σ - Quasi Centralizers and Inner Derivations in a Closed Ideal of a Complex Banach Algebra. |
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Untitled | |
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 | |
Type | Journal Article |
Date | 2008 |
Language | English |
Published in | IUG Journal for Natural and Engineering Studies |
Series | Volume: 16, Number: 1 |
Publisher | الجامعة الإسلامية - غزة |
Citation | |
License | ![]() |
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Files in this item | ||
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135-399-1-PB.pdf | 204.7Kb |