Bulletin of the Iranian Mathematical Society, ( ISI ), Volume (37), No (1), Year (2011-4) , Pages (225-233)

Title : ( Some Equivalence Classes of Linear Operators on B(H) )

Authors: , Shirin Hejazian ,

Citation: BibTeX | EndNote

Let L(B(H)) be the algebra of all linear operators on B(H) and P be a property on B(H). For 1, 2 2 L(B(H)), we say that 1P 2, whenever 1(T) has property P, if and only if 2(T) has this property. In particular, if I is the identity map on B(H), then P I means that  preserves property P in both directions. Each property P produces an equivalence relation on L(B(H)). We study the relation between equivalence classes with respect to different properties such as being Fredholm, semi-Fredholm, compact, finite rank, generalized invertible, or having a specific semi-index.

Keywords

, Fredholm operator, semi-Fredholm operator, generalized invertible
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@article{paperid:1023987,
author = {, and Hejazian, Shirin},
title = {Some Equivalence Classes of Linear Operators on B(H)},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2011},
volume = {37},
number = {1},
month = {April},
issn = {1735-8515},
pages = {225--233},
numpages = {8},
keywords = {Fredholm operator; semi-Fredholm operator; generalized invertible operator},
}

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%0 Journal Article
%T Some Equivalence Classes of Linear Operators on B(H)
%A ,
%A Hejazian, Shirin
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2011

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