Bulletin of the Malaysian Mathematical Sciences Society, ( ISI ), Volume (35), No (3), Year (2012-5) , Pages (627-632)

Title : ( Equivalence Classes of Linear Mappings on B(M) )

Authors: Shirin Hejazian , ,

Citation: BibTeX | EndNote

Let M be a Hilbert C*-module over the C*-algebra A , B(M) the C*-algebra of all adjointable operators on M, L(B(M)) the algebra of all linear operators on B(M). For a property P on B(M) and f1;f2 2 L(B(M)) we say that f1P f2, whenever for every T 2 B(M), f1(T) has property P if and only if f2(T) has this property. Each property P produces an equivalence relation on L(B(M)). If I denotes the identity map on B(M) it is clear that fPI means that f preserves and reflects property P. We are going to study the equivalence classes with respect to different properties such as being A -Fredholm, semi-A -Fredholm, compact and generalized invertible.

Keywords

, Hilbert C*-module, A -Fredholm operator, semi-A -Fredhom operator, generalized invertible
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@article{paperid:1029234,
author = {Hejazian, Shirin and , },
title = {Equivalence Classes of Linear Mappings on B(M)},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
year = {2012},
volume = {35},
number = {3},
month = {May},
issn = {0126-6705},
pages = {627--632},
numpages = {5},
keywords = {Hilbert C*-module; A -Fredholm operator; semi-A -Fredhom operator; generalized invertible operator.},
}

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%0 Journal Article
%T Equivalence Classes of Linear Mappings on B(M)
%A Hejazian, Shirin
%A ,
%J Bulletin of the Malaysian Mathematical Sciences Society
%@ 0126-6705
%D 2012

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