Geodesic
Théorie des opérateurs
Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Ramesh, Golla1  ; Sequeira, Shanola S.1
1 Department of Mathematics, IIT Hyderabad, Kandi, Sangareddy, Telangana-502284, India
Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 973-977

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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 ∞ .

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DOI : 10.5802/crmath.457
Classification : 47B35, 47A10, 47B07

Ramesh, Golla 1 ; Sequeira, Shanola S. 1

1 Department of Mathematics, IIT Hyderabad, Kandi, Sangareddy, Telangana-502284, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Absolutely minimum attaining {Toeplitz} and absolutely norm attaining {Hankel} operators},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {973--977},
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Ramesh, Golla; Sequeira, Shanola S. Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators. Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 973-977. doi: 10.5802/crmath.457

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