Compactification and decompactification by weights on Bergman spaces [PDF]
We characterize the symbols φ for which there exists a weight w such that the weighted composition operator MwCφ is compact on the weighted Bergman space Bα. We also characterize the symbols for which there exists a weight w such that MwCφ is bounded but
P. Lefèvre +3 more
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A Chain of numerical radius inequalities in complex Hilbert space
In this paper, we implement the improvement of numerical radius inequalities that were produced by Alomari MW. [Refinements of some numerical radius inequalities for Hilbert space operators. Linear and Multilinear Algebra.
Mohammed Al-Dolat +2 more
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Composition operators and closures of a class of Möbius invariant function spaces in the Bloch space
. Closures of a class of M¨obius invariant function spaces in the Bloch space are investi- gated in this paper. Moreover, the boundedness and compactness of composition operators from the Bloch space to closures of such M¨obius invariant space in the ...
L. X. Zhang
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On Stević-Sharma operators from weighted Bergman spaces to weighted-type spaces
Let H (D) be the space of analytic functions on the unit disc D . Let φ be an analytic self-map of D and ψ1,ψ2 ∈H (D) . Let Cφ , Mψ and D denote the composition, multiplication and differentiation operators, respectively.
M. S. A. Ghafri, J. Manhas
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Maps preserving common zeros between subspaces of vector-valued continuous functions [PDF]
For metric spaces $X$ and $Y$, normed spaces $E$ and $F$, and certain subspaces $A(X,E)$ and $A(Y,F)$ of vector-valued continuous functions, we obtain a complete characterization of linear and bijective maps $T:A(X,E)\to A(Y,F)$ preserving common zeros ...
Dubarbie, Luis
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Compact weighted composition operators and fixed points in convex domains [PDF]
We extend a classical result of Caughran/Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in n-dimensional complex space, m is a holomorphic function on D and bounded away from zero toward the boundary of
Clahane, Dana D.
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On Stević-Sharma type operator from the Besov spaces into the weighted-type space H^∞_μ
We completely describe the boundedness and compactness of Stević-Sharma type operator Tψ1 ,ψ2,φ from the Besov spaces Bp (1 < p < ∞) into the weighted-type space H ∞ μ or the little weighted-type space H∞ μ ,0 . Mathematics subject classification (2010):
Yongmin Liu, Yanyan Yu
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Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices [PDF]
Let $H:M_m\to M_m$ be a holomorphic function of the algebra $M_m$ of complex $m\times m$ matrices. Suppose that $H$ is orthogonally additive and orthogonally multiplicative on self-adjoint elements.
Bu, Qingying +2 more
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Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces
In this paper we deal with the algebraic reflexivity of sets of bounded linear operators on absolutely continuous vector-valued function spaces. As a consequence, it is shown that the set of all surjective linear isometries, the set of all isometric ...
Maliheh Hosseini
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Compactification, and beyond, of composition operators on Hardy spaces by weights [PDF]
We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered.
P. Lefèvre +3 more
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