Mathematical Theory and Modeling
On Quasi-invertibility and Quasi-similarity of Operators in Hilbert Space.
Abstract
In this paper we show that if two operators A and B are quasi-invertible then AB and BA are also quasi-similar. We also show that if two operators and are isometric is consistent in invertibility under further hypothesis.
AMS subject classification: 47B47, 47A30, 47B20
Keywords and phrases: Quasi-similarity, quasi-affinity and consistent in invertibility.
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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