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Filomat
Article . 2021 . Peer-reviewed
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Filomat
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Some applications of Berezin θ-sequences and Berezin symbols

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:National Library of SerbiaJournal:Filomat, volume 35, pages 3,703-3,712 (issn: 0354-5180, eissn: 2406-0933, Copyright policy )
Authors: N. Altwaijry; M. Garayev; A. Baazeem;

doi: 10.2298/fil2111703a

Some applications of Berezin θ-sequences and Berezin symbols

Abstract

We consider the so-called Berezin ?-sequence, where ? is an operator valued inner function, for operators on the vector valued Hardy space H2E (D), and study the invertibility of some operators on the model space K? = H2E ? ?H2E via Berezin ?-sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space L2a(D) is studied. Moreover, C-invertibility and C-unitarity of operators are also defined and studied.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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