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Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [PDF]
Journal of Inequalities and Applications, 2017 We calculate the essential norm of some extensions of the generalized composition operators between kth weighted-type spaces on the unit disk in the complex plane, considerably extending some results in the literature.
Stevo Stević
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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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Norm and essential norm of a weighted composition operator on the Bloch space [PDF]
Integral Equations and Operator Theory, 2015 We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.
Xiaosong Liu, Songxiao Li
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On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
Concrete Operators, 2023 In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
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Essential norm of generalized Hilbert matrix from Bloch type spaces to BMOA and Bloch space [PDF]
AIMS Mathematics, 2021 Let $ \mu $ be a positive Borel measure on the interval $ [0, 1) $. The Hankel matrix $ {\mathcal H}_\mu = (\mu_{n+k})_{n, k\geq 0} $ with entries $ \mu_{n, k} = \mu_{n+k} $ induces the operatoron the space of all analytic functions $ f(z) = \sum^\infty_{
Songxiao Li , Jizhen Zhou
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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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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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The essential norm of multiplication operators on $$L_p(\mu )$$ [PDF]
Afrika Matematika, 2022 AbstractWe show that the formula for the essential norm of a multiplication operator on$$L_p$$Lp, for$$1<p<\infty $$1<p<∞, also holds for$$p=1$$p=1. We also provide a proof for the formula which works simultaneously for all$$p\in [1,\infty )$$p∈[1,∞).
J. Voigt
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The essential norm of a composition operator on Bloch spaces [PDF]
Pacific Journal of Mathematics, 1999 We express the essential norm of a composition operator on the Bloch space and the little Bloch space as the asymptotic upper bound of a quantity involving the inducing map and the Pick-Schwarz Lemma. As a consequence, we obtain a new proof of a recently obtained characterization of the compact composition operators on Bloch spaces.
Alfonso Montes-Rodrı́guez
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