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Arab Journal of Mathematical Sciences
Article . 2020 . Peer-reviewed
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Arab Journal of Mathematical Sciences
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Toeplitz and slant Toeplitz operators on the polydisk

Authors: Munmun Hazarika; Sougata Marik;

Toeplitz and slant Toeplitz operators on the polydisk

Abstract

For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn). Besides giving a necessary and sufficient condition for an operator on L2(Tn) to be slant Toeplitz, we also establish several properties of slant Toeplitz operators.

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Keywords

hyponormal operator, Slant Toeplitz operator, Laurent matrix of level \(n\), Laurent matrix of level n, Toeplitz matrix of level \(n\), Toeplitz matrix of level n, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, slant Toeplitz operator, Subnormal operators, hyponormal operators, etc., Hyponormal operator, Mathematics

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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!
6
Top 10%
Average
Average
gold
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