Results 21 to 30 of about 22,882 (222)
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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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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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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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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Banach Spaces as Data Types [PDF]
, 2010 We introduce the operators "modified limit" and "accumulation" on a Banach space, and we use this to define what we mean by being internally computable over the space.
Dag Normann, Ning Zhong
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A note on positive $\mathcal{AN}$ operators
, 2018 We show that positive absolutely norm attaining operators can be characterized by a simple property of their spectra. This result clarifies and simplifies a result of Ramesh. As an application we characterize weighted shift operators which are absolutely
Doust, Ian
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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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Birkhoff-James orthogonality and smoothness of bounded linear operators
, 2016 We present a sufficient condition for smoothness of bounded linear operators on Banach spaces for the first time. Let $T, A \in B(\mathbb{X}, \mathbb{Y}),$ where $\mathbb{X}$ is a real Banach space and $\mathbb{Y}$ is a real normed linear space.
Ghosh, Puja +2 more
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Advanced Engineering Materials, EarlyView.Trace additions of Sn and Sr combined with a two‐step aging treatment are shown to enhance the microstructure and performance of Al–Zr–Sc conductor alloys. Strength and electrical conductivity increase concurrently through accelerated precipitation of fine Al3(Sc, Zr) precipitates and improved dislocation resistance, offering a cost‐effective pathway ...
Quan Shao +3 more
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