INVARIANT SUBSPACE FOR LINEAR OPERATORS IN SEMI HILBERTIAN SPACE

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Date

2020-02-23

Journal Title

Journal ISSN

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Publisher

University Of Eloued جامعة الوادي

Abstract

In this paper, we obtain some results on A-hyponormal operators. We show that the results for the supercyclicity of hy- ponormal operators described in [8] remain true for A-hyponormal operators. Also, we show that every A-hyponormal operators is A-power regular. Also we show that an A-hyponormal operators have a nontrivial hyperinvariant subspace.

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Intervention Abstract

Keywords

A-hyponormal, A-normal, A-power regular, semi-inner products, supercyclic operators, invariant set.

Citation

NADER JERIDI . ADEL SADDI. INVARIANT SUBSPACE FOR LINEAR OPERATORS IN SEMI HILBERTIAN SPACE. International PluridisciplinaryPhD Meeting (IPPM’20). 1st Edition, February23-26, 2020. University Of Eloued. [Visited in ../../….]. Available from [copy the link here].