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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 absolutely norm attaining operators [PDF]
Proceedings - Mathematical Sciences, 2019 Submitted to a ...
D Venku Naidu, G Ramesh
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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 [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.
Jonathan Partington
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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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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 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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Norm-attaining operators which satisfy a Bollobás type theorem [PDF]
Banach Journal of Mathematical Analysis, 2021 In this paper, we are interested in studying the set $\mathcal{A}_{\|\cdot\|}(X, Y)$ of all norm-attaining operators $T$ from $X$ into $Y$ satisfying the following: given $ >0$, there exists $ $ such that if $\|Tx\| > 1 - $, then there is $x_0$ such that $\| x_0 - x\| < $ and $T$ itself attains its norm at $x_0$.
Sheldon Dantas +2 more
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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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