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Weak-star quasi norm attaining operators
Journal of Mathematical Analysis and Applications, 2022 For Banach spaces $X$ and $Y$, a bounded linear operator $T\colon X \longrightarrow Y^*$ is said to weak-star quasi attain its norm if the $\sigma(Y^*,Y)$-closure of the image by $T$ of the unit ball of $X$ intersects the sphere of radius $\|T\|$ centred
Choi, Geunsu +3 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 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 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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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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Bounded holomorphic functions attaining their norms in the bidual [PDF]
, 2015 Under certain hypotheses on the Banach space $X$, we prove that the set of analytic functions in $\mathcal{A}_u(X)$ (the algebra of all holomorphic and uniformly continuous functions in the ball of $X$) whose Aron-Berner extensions attain their norms, is
Carando, Daniel, Mazzitelli, Martin
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