Results 11 to 20 of about 22,883 (226)
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 on Some Classical Banach Spaces [PDF]
Mathematische Nachrichten, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Acosta, Marรญa D., Ruiz, Cรฉsar
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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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The Bishop-Phelps-Bollob\'{a}s property for operators on $C(K)$ [PDF]
, 2014 We provide a version for operators of the Bishop-Phelps-Bollob\'{a}s Theorem when the domain space is the complex space $C_0(L)$. In fact we prove that the pair $(C_0(L), Y)$ satisfies the Bishop-Phelps-Bollob\'{a}s property for operators for every ...
Acosta, Maria D.
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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 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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Norm Attaining Multilinear Forms on ๐ฟ1(๐)
International Journal of Mathematics and Mathematical Sciences, 2008 Given an arbitrary measure ๐, this study shows that the set of norm attaining multilinear forms is not dense in the space of all continuous multilinear forms on ๐ฟ1(๐). However, we have the density if and only if ๐ 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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On Norm-Attainable Operators in Banach Spaces [PDF]
Journal of Function Spaces, 2020 Norm-attainable operators have been studied over a period of time with nice results obtained particularly in Hilbert spaces. In this work, we consider the Banach space setting by characterizing nonpower operators onHand elementary operators. Lastly, we characterize a new notion of norm-attainability for power operators in general Banach spaces.
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