Note on the Invariance Properties of Operator Products Involving Generalized Inverses

Xiaoji Liu; Miao Zhang; Yaoming Yu

doi:10.1155/2014/213458

Abstract and Applied Analysis (Jan 2014)

Note on the Invariance Properties of Operator Products Involving Generalized Inverses

Xiaoji Liu,
Miao Zhang,
Yaoming Yu

Affiliations

Xiaoji Liu: College of Science, Guangxi University for Nationalities, Nanning 530006, China
Miao Zhang: College of Science, Guangxi University for Nationalities, Nanning 530006, China
Yaoming Yu: School of Mathematical Sciences, Monash University, Melbourne, VIC 3800, Australia

DOI: https://doi.org/10.1155/2014/213458
Journal volume & issue: Vol. 2014

Abstract

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We investigate further the invariance properties of the bounded linear operator product AC1 B1 D and its range with respect to the choice of the generalized inverses X and Y of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

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