Reverse order law for the group inverses

This paper is to present some equivalent conditions concerning the reverse order law ( A B ) # = B # A # for the group invertible operators A, B on a Hilbert space H .

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2011-10, Vol.382 (2), p.663-671
Main Author: Deng, Chun Yuan
Format: Article
Language:English
Subjects:
Block operator matrix
Exact sciences and technology
Functional analysis
Group inverse
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Description
Summary:This paper is to present some equivalent conditions concerning the reverse order law ( A B ) # = B # A # for the group invertible operators A, B on a Hilbert space H .
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2011.04.085