Results 211 to 220 of about 22,883 (226)

Compact perturbations and norm attaining operators

Quaestiones Mathematicae, 2005
No abstract availableKeywords: Norm attaining; compact perturbation; Hilbert space; porous; denseQuaestiones Mathematicae 28(2005), 401 ...
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Some remarks on minimum norm attaining operators

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Uday Shankar Chakraborty
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Norm attaining operators and norming functionals

Proceedings of the American Mathematical Society, 1982
The question of whether a countably additive measure with values in a Banach space attains the diameter of its range was unresolved. In this paper an example is given of a countably additive vector measure, taking values in a C ( K ) C(K) space, for which the diameter of the range is not attained.
Bilyeu, Russell G., Lewis, Paul W.
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On a subclass of norm attaining operators

Acta Scientiarum Mathematicarum, 2021
This article is devoted to operators on the Hilbert space which satisfy some properties of norm-attainment. More precisely, a new condition is defined and studied: the authors denote by \(\beta(H)\) the collection of operators \(T\) on the complex Hilbert space \(H\) whose restriction to any reducing subspace \(M\) attains its norm, where \(M\) is ...
Ramesh, Golla, Osaka, Hiroyuki
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Norm attaining operators and James’ Theorem

2001
Abstract There are several results relating isomorphic properties of a Banach space and the set of norm attaining functionals. Here, we show versions for operators of some of these results. For instance, a Banach space X has to be reflexive if it does not contain l1 and for some non trivial Banach space Y and positive r, the unit ball of the space ...
M.D. Acosta, J. Becerra Guerrero, M. Ruiz Galán   +2 more
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Norm-attaining operators between Marcinkiewicz and Lorentz spaces

Bulletin of the London Mathematical Society, 2008
Bishop and Phelps proved that the set of norm-attaining functionals on any Banach space is dense in the topological dual. After that, the study of the same kind of problems for operators was initiated by Lindenstrauss, and several general positive results were proved.
María D. Acosta, Anna Kamińska
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Norm-attaining operators into Lorentz sequence spaces

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009
We prove that the Lorentz sequence spaces do not have the property B of Lindenstrauss. In fact, for any admissible sequences w, v ∈ c0 \ l1, the set of norm-attaining operators from the Orlicz space hϕ(w) (ϕ is a certain Orlicz function) into d(v, 1) is not dense in the corresponding space of operators.
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On quasi norm attaining operators between Banach spaces

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Geunsu Choi, Yun Sung Choi, Mingu Jung
exaly  

Absolutely norm attaining Toeplitz and absolutely minimum attaining Hankel operators

Journal of Mathematical Analysis and Applications, 2022
Ramesh Golla
exaly  

Weak-star quasi norm attaining operators

Journal of Mathematical Analysis and Applications, 2022
Mingu Jung, Miguel Martin, Geunsu Choi
exaly