Results 11 to 20 of about 22,805 (235)
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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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 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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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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On the closure of absolutely norm attaining operators
Linear and Multilinear Algebra, 2022 Let $H_1$ and $H_2$ be complex Hilbert spaces and $T:H_1\rightarrow H_2$ be a bounded linear operator. We say $T$ to be norm attaining, if there exists $x\in H_1$ with $\|x\|=1$ such that $\|Tx\|=\|T\|$. If for every closed subspace $M$ of $H_1$, the restriction $T|_{M}:M\rightarrow H_2$ is norm attaining then, $T$ is called absolutely norm attaining ...
Ramesh, G., Sequeira, Shanola S.
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Very smooth points of spaces of operators [PDF]
, 2003 In this paper we study very smooth points of Banach spaces with special emphasis on spaces of operators. We show that when the space of compact operators is an $M$-ideal in the space of bounded operators, a very smooth operator $T$ attains its norm at a ...
Rao, T. S. S. R. K.
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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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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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Sampling from a system-theoretic viewpoint: Part II - Noncausal solutions [PDF]
, 2010 This paper puts to use concepts and tools introduced in Part I to address a wide spectrum of noncausal sampling and reconstruction problems. Particularly, we follow the system-theoretic paradigm by using systems as signal generators to account for ...
Meinsma, Gjerrit, Mirkin, Leonid
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Norm-attaining Composition Operators on Lipschitz Spaces [PDF]
Taiwanese Journal of Mathematics, 2019 Every composition operator C_{\varphi} on the Lipschitz space Lip_0(X) attains its norm. This fact is essentially known and we give in this paper a sequential characterization of the extremal functions for the norm of C_{\varphi} on Lip_0(X). We also characterize the norm-attaining composition operators C_{\varphi} on the little Lipschitz space lip_0(X)
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