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Claim

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 07 Sep 2023Embargo end date: 01 Jan 2022 India English Publisher:MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 361, pages 973-977 (issn: 1631-073X, eissn: 1778-3569, Copyright policy )
Authors: Ramesh, Golla; Sequeira, Shanola S.;

doi: 10.5802/crmath.457 , 10.48550/arxiv.2209.05841

arXiv: 2209.05841

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

Abstract

In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator T φ in terms of the symbol φ ∈ L ∞ .

Country
India
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Keywords

Mathematics - Functional Analysis, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Linear operators defined by compactness properties, FOS: Mathematics, Spectrum, resolvent, 47A10, 47B07, 47B35, Mathematics, Functional Analysis (math.FA)

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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!
2
Average
Average
Average
Green
gold