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http://hdl.handle.net/20.500.12358/26152
TitleCentrality in BL (X), The Banach algebra of bounded linear operators
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Abstract

In this paper we show that for a complex Banach algebra A = BL(X) of all bounded linear operators on the Banach space X, the set of all rho-quasi central elements of A is a subset of each of. (i) the set of all discrete rho-quasi central elements; (U) the set of all continuous rho-quasi central elements; (W) the set of all residual rho-quasi central elements; and (iv) the set of all approximate discrete rho-quasi central elements of A, and this set inclusion may be proper, but in the case that X is finite dimensional we see that the set of all discrete rho-quasi central elements, the set of all approximate discrete rho-quasi central elements and the set of all rho-quasi central elements of A all are identical, in the other hand the set of all continuous rho-quasi central elements, the set of all residual rho-quasi central elements of A and A are equal. Also we show that any normal operator on a Hilbert space H is a residual rho-quasi …

Authors
As’ad, As’ad Y.
Sarsuor, Jasser H
TypeJournal Article
Date2002
Published inArabian Journal for Science and Engineering
SeriesVolume: 27, Number: 2 A
PublisherKING FAHD UNIV PETROLEUM MINERALS
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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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