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Multiplication operators in BV spaces
The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of...
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Compact intertwining relation for multiplication operators in several complex variables
We study the compact intertwining relations for the multiplication operators between Hardy spaces and Bergman spaces in the unit ball of
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Representations of Polynomial Covariance Type Commutation Relations by Piecewise Function Multiplication and Composition Operators
RepresentationsD**ja, Domingos Silvestrov, Sergei Tumwesigye, Alex Behakanira of polynomial covariance type commutation relations are constructed on...
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Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators
Cauchy–de Branges spaces are Hilbert spaces of entire functions defined in terms of Cauchy transforms of discrete measures on the plane and...
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Multiplication and Linear Integral Operators on Lp Spaces Representing Polynomial Covariant Type Commutation Relations
Representations of polynomial covariant type commutation relations by pairs of linear integral operators and multiplication operators on Banach...
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Weighted composition operators on variable exponent Lebesgue spaces
In this paper, we characterize the boundedness of weighted composition operators, induced by measurable transformations and complex-valued measurable...
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On the convergence of numerical integration as a finite matrix approximation to multiplication operator
We study the convergence of a family of numerical integration methods where the numerical integration is formulated as a finite matrix approximation...
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On Generalized Fredholm Operators in a Right Quaternionic Hilbert Space
The purpose of this paper, is to study and investigate a larger class of operators than the Fredholm ones, is the so-called, generalized Fredholm...
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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...
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The Filipović Space and Operators
We present the basic necessary properties of the state space of term structure curves, namely the Filipović space. Particular focus is on the Banach...
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BiHom-NS-Algebras, Twisted Rota–Baxter Operators and Generalized Nijenhuis Operators
The purpose of this paper is to introduce and study BiHom-NS-algebras, which are a generalization of NS-algebras using two homomorphisms. Moreover,...
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The common range of co-analytic Toeplitz operators on the Drury-Arveson space
We characterize the common range of the adjoints of cyclic multiplication operators on the Drury-Arveson space. We show that a function belongs to...
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Multiplication of Distributions and Algebras of Mnemofunctions
In this paper, we discuss methods and approaches for definition of multiplication of distributions, which is not defined in general in the classical...
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Unbounded Operators
Most operators occurring in applications, like differential operators or multiplication operators, are unbounded. Quantum physics requires that such...
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Transitive and Mean Ergodic Operators
In this chapter, an introduction to the theory of transitive and mean ergodic operators on locally convex spaces is given. The relation of transitive...