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Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Comptes Rendus. Mathématique, 2023 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_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
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Norm estimates for operators in norm-attainable C*-algebras
European Journal of Mathematics and Applications, 2023 Norm estimates for various types of Banach algebra operators have been studied over decades with interesting results obtained. However, it still remains an open problem to determine the norm of an operator in a general Banach space setting. In this note,
Sabasi Omaoro +2 more
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Norm-Attaining Tensors and Nuclear Operators [PDF]
Mediterranean Journal of Mathematics, 2022 25 pages.
Sheldon Dantas +3 more
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On Numerical Ranges and Spectra of Norm Attaining Operators in C*-Algebras
Pan-American Journal of Mathematics, 2023 In this paper, we study norm attaining operators in C∗-algebras. We characterize their numerical ranges and spectra. In particular, we show that if a norm-attaining operator S is self-adjoint, then its spectrum lies in the interval [−||S||, ||S||].
Sabasi Omaoro +2 more
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On absolutely norm attaining operators [PDF]
Proceedings - Mathematical Sciences, 2019 Submitted to a ...
D Venku Naidu, G Ramesh
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ON THE EXISTENCE OF NON-NORM-ATTAINING OPERATORS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2021 AbstractIn this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in $\mathcal {L}(E, F)$ . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a relatively compact set K of $\mathcal {L}(E, F)$ (in the weak operator topology) such that $0$ is an element of ...
Sheldon Dantas +2 more
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A representation of hyponormal absolutely norm attaining operators [PDF]
Bulletin des Sciences Mathématiques, 2021 15 Pages, Submitted to Journal.
Bala, Neeru, Ramesh, G.
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Norm attaining operators and simultaneously continuous retractions [PDF]
Proceedings of the American Mathematical Society, 1982 A compact metric space S S is constructed and it is shown that there is a bounded linear operator T : L 1 [ 0 , 1 ] → C ( S ) T:{L^1}[0,1] \to C(S) which cannot be approximated by a norm ...
Johnson, Jerry, Wolfe, John
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Norm attaining operators and variational principle [PDF]
Studia Mathematica, 2022 We establish a linear variational principle extending the Deville-Godefroy-Zizler's one. We use this variational principle to prove that if $X$ is a Banach space having property $( )$ of Schachermayer and $Y$ is any banach space, then the set of all norm strongly attaining linear operators from $X$ into $Y$ is a complement of a $ $-porous set ...
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Norm attaining operators [PDF]
Israel Journal of Mathematics, 1982 Every Banach space is isomorphic to a space with the property that the norm-attaining operators are dense in the space of all operators into it, for any given domain space. A super-reflexive space is arbitrarily nearly isometric to a space with this property.
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