Results 11 to 20 of about 22,882 (222)
ON THE NORM ATTAINING OPERATORS [PDF]
Korean Journal of Mathematics, 2012 Summary: In this paper, we show the norm attaining paranormal operators have a nontrivial invariant subspace. Also, we show the norm attaining quadratically hyponormal weighted shift is subnormal.
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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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Norm Attaining Operators on Some Classical Banach Spaces [PDF]
Mathematische Nachrichten, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Acosta, María D., Ruiz, César
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Norm-attaining compact operators
Journal of Functional Analysis, 2014 To appear in J. Funct. Anal.
Miguel Martin
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Denseness for norm attaining operator-valued functions
Linear Algebra and its Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Enflo, Per +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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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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Norm Attaining Multilinear Forms on 𝐿1(𝝁)
International Journal of Mathematics and Mathematical Sciences, 2008 Given an arbitrary measure 𝜇, this study shows that the set of norm attaining multilinear forms is not dense in the space of all continuous multilinear forms on 𝐿1(𝜇). However, we have the density if and only if 𝜇 is purely atomic. Furthermore, the study
Yousef Saleh
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A Lindenstrauss theorem for some classes of multilinear mappings [PDF]
, 2015 Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal whose Arens extensions simultaneously attain their norms.
Carando, D. +2 more
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Norm Attaining Operators and Pseudospectrum [PDF]
Integral Equations and Operator Theory, 2009 It is shown that if $11$, the operator $I+T$ attains its norm. A reflexive Banach space $X$ and a bounded rank one operator $T$ on $X$ are constructed such that $\|I+T\|>1$ and $I+T$ does not attain its norm.
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