Results 11 to 20 of about 488 (219)
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 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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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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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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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 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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Operator norm attainment and Birkhoff–James orthogonality
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Debmalya Sain, Kallol Paul, Sourav Hait
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Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source