Some results about EP modular operators
A bounded adjointable operator in Hilbert C*-modules is called EP if ranges of T and have the same closure. This definition is employed to achieve a new characterization of EP operators. We show that the anticommutator of EP operators is again an EP operator. It follows that the product of commuting...
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Published in | Linear & multilinear algebra Vol. 70; no. 18; pp. 3490 - 3496 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
12.12.2022
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | A bounded adjointable operator
in Hilbert C*-modules is called EP if ranges of T and
have the same closure. This definition is employed to achieve a new characterization of EP operators. We show that the anticommutator of EP operators is again an EP operator. It follows that the product of commuting EP operators is an EP operator. Some other conditions implying the product of EP operators to be an EP operator are presented. Finally, we prove that for EP operators S, T equality
holds. |
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ISSN: | 0308-1087 1563-5139 |
DOI: | 10.1080/03081087.2020.1844613 |