Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
G.Ramesh, Shanola S.Sequeira
TL;DR
This paper provides a complete characterization of absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators, advancing the understanding of their structure and properties.
Contribution
It offers new characterizations of these operators, including an improved theorem relating Toeplitz operators to their symbols in $L^ Infty$, enhancing theoretical insights.
Findings
Complete characterization of absolutely norm attaining Hankel operators.
Complete characterization of absolutely minimum attaining Toeplitz operators.
Improved theorem relating Toeplitz operators to their symbols.
Abstract
In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve \cite[Theorem 2.1]{RGSSSTOE1}, by characterizing the absolutely norm attaining Toeplitz operator in terms of the symbol .
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Taxonomy
TopicsHolomorphic and Operator Theory · Analytic and geometric function theory · Spectral Theory in Mathematical Physics