Results 11 to 20 of about 826,914 (316)
Essential supremum norm differentiability [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 The points of Gateaux and Fréchet differentiability in L∞(μ,X) are obtained, where (Ω,∑,μ) is a finite measure space and X is a real Banach space. An application of these results is given to the space B(L1(μ,ℝ),X) of all bounded linear operators from L1 ...
I. E. Leonard, K. F. Taylor
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Interpolation of the essential spectrum and the essential norm [PDF]
Banach Center Publications, 2005 Asuman Güven Aksoy, Hans-Olav Tylli
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Duality of the weak essential norm [PDF]
Proceedings of the American Mathematical Society, 2000 Let \(E\) and \(F\) be Banach spaces, and let \({\mathcal L}(E,F)\) be the space of all bounded linear operators from \(E\) into \(F\). Let \(W(E,F)\) denote a (closed) subspace of \({\mathcal L}(E,F)\) composed of all weakly compact operators. The weak essential norm is the quotient norm \(\|S\|_w=\text{dist}(S,W(E,F))\), \(S\in{\mathcal L}(E,F ...
Hans-Olav Tylli
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Norms and essential norms of linear combinations of endomorphisms [PDF]
Transactions of the American Mathematical Society, 2004 We compute norms and essential norms of linear combinations of endomorphisms on uniform algebras.
Pamela Gorkin, Raymond Mortini
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Essential norm of the differential operator [PDF]
Operators and Matrices, 2019 This paper is a follow-up contribution to our work [10] where we studied some spectral properties of the differential operator $D$ acting between generalized Fock spaces $\mathcal{F}_{(m,p)}$ and $\mathcal{F}_{(m,q)}$ when both exponents $p$ and $q$ are finite.
Tesfa Mengestie
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Essential norms of the Neumann operator of the arithmetical mean [PDF]
Mathematica Bohemica, 2001 Summary: Let \(K\subset \mathbb R^m\) (\(m\geq 2\)) be a compact set; assume that each ball centered on the boundary \(B\) of \(K\) meets \(K\) in a set of positive Lebesgue measure. Let \({\mathcal C}_0^{(1)}\) be the class of all continuously differentiable real-valued functions with compact support in \(\mathbb R^m\) and denote by \(\sigma _m\) the ...
Josef Král, Dagmar Medková
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Essential pseudospectra and essential norms of band-dominated operators [PDF]
Journal of Mathematical Analysis and Applications, 2015 39 pages; minor changes and ...
Raffael Hagger, Marko Lindner, M. Seidel
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Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this work, we consider product-type operators $T^m_{u,v,\varphi}$ from minimal M\"{o}bius invariant spaces into Zygmund-type spaces. Firstly, some characterizations for the boundedness of these operators are given.
Mostafa Hassanlou +3 more
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Inequalities involving norm and essential norm of weighted composition operators [PDF]
Journal of Mathematical Inequalities, 2017 Ajay K. Sharma +3 more
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On the essential norms of Toeplitz operators with continuous symbols [PDF]
Journal of Functional Analysis, 2021 It is well known that the essential norm of a Toeplitz operator on the Hardy space $H^p(\mathbb{T})$, $1 < p < \infty$ is greater than or equal to the $L^\infty(\mathbb{T})$ norm of its symbol. In 1988, A. B ttcher, N. Krupnik, and B. Silbermann posed a question on whether or not the equality holds in the case of continuous symbols.
Eugene Shargorodsky, Eugene Shargorodsky
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