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Boundedness and compactness of weighted composition operators and monomial operators
This paper characterises the boundedness and compactness of Agler–McCarthy monomial operators by reducing them to weighted composition operators and...
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Closed Range Integral Operators on Fock Spaces
We study the closed range problem for generalized Volterra-type integral operators on Fock spaces. We first answer the problem using the notions of...
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Convergence of the Method of Regularization for Finding Normal Quasisolutions in Problems with Free Phase and a Completely Continuous Operator
We consider the problems of correct finding of normal quasisolutions of operator equations whose operator is a superposition of linear and nonlinear...
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Generalizations to Bounded Nonnormal Operators
One natural way of generalizing the Fuglede-Putnam theorem is to weaken the normality assumptions. This chapter is mainly devoted to such...
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Weighted composition operators on discrete weighted Banach spaces
We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that...
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Composition operators on fock-type spaces
In this paper, we characterize the bounded, compact, normal and Schatten class composition operators on the Fock-type spaces. Moreover, we completely...
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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...
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Birkhoff–James Orthogonality and Geometry of Operator Spaces
This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It...
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Singular solutions for space-time fractional equations in a bounded domain
This paper is devoted to describing a linear diffusion problem involving fractional-in-time derivatives and self-adjoint integro-differential space...
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On the relation of the frame-related operators of fusion frame systems
Frames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as...
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Non-Linear Operators and Differentiability of Lipschitz Functions
In this work we provide a characterization of distinct types of (linear and non-linear) maps between Banach spaces in terms of the differentiability...
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Phillips symmetric operators and functional calculus of maximal symmetric operators
The aim of this work is to develop a functional calculus for simple maximal symmetric operators. The proposed approach is based on the properties of...
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Dilatations of Linear Operators
The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator...