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Characterizations of Composition Operators on Bloch and Hardy Type Spaces
The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general...
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On Berezin type operators and Toeplitz operators on Bergman spaces
We introduce a class of integral operators called Berezin type operators. It is a generalization of the Berezin transform, and has a close relation...
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Weak and almost Grothendieck operators in Banach lattices
In this paper, we introduce and study a weak version of Grothendieck operators that we will call weak Grothendieck operators, these are operators...
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\(C^*\) -Algebras and Completely Positive Maps
In the first two sections of this chapter, we briefly describe some basics of the Banach and the... -
Invariant measures from locally bounded orbits
Motivated by recent investigations of Sophie Grivaux and Étienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the...
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Generalized Forelli-Rudin type operators between several function spaces on the unit ball of ℂn
In this paper, we investigate sufficient and necessary conditions such that generalized Forelli-Rudin type operators T λ,τ,k , S λ,τ,k , Q λ,τ,k and R λ,τ,k ...
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On the Structure of Conditionally Positive Definite Algebraic Operators
Recently, the authors have introduced and intensively studied a class of bounded Hilbert space operators called conditionally positive definite. Its... -
Unbounded Local Completely Contractive Maps
We prove a local convex version of Arveson’s extension theorem and of Wittstock’s extension theorem. Also, we prove a Stinespring type theorem for...
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Big Hankel operators on Hardy spaces of strongly pseudoconvex domains
In this article, we investigate the (big) Hankel operator H f on the Hardy spaces of bounded strongly pseudoconvex domains Ω in ℂ n . We observe that H f ...
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Truncated Toeplitz Operators
Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey... -
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Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces
In this paper, we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock...
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A primer on eigenvalue problems of non-self-adjoint operators
Non-self adjoint operators describe problems in science and engineering that lack symmetry and unitarity. They have applications in...
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Multipliers and equivalence of functions, spaces, and operators
By interpreting the well-known Brown–Halmos theorem for Toeplitz operators in terms of multipliers, we formulate a Brown–Halmos analogue for the...