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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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Composition operators with closed range on the Dirichlet space
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Nevanlinna counting function induces a...
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Closed range Volterra-type integral operators and dynamical sampling
We solve the closed range problem for Volterra-type integral operator on Fock spaces. Several applications of the result related to the operators...
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On Wold Type Decomposition for Closed Range Operators
This survey aims to give a brief introduction to Wold-type decomposition for some closed range operators satisfying some operator inequalities. As a...
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Closed Range Composition Operators on BMOA
We employ a new reverse Carleson type condition and define a new sampling condition to study closed range composition operators on BMOA . We provide...
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A note on modular frames for closed range operators in Hilbert \(\mathcal {C}^{*}\)-modules
One of the most important problems in the study of frames and its extensions is the invariance of these systems under perturbation. The current paper...
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Spatial Numerical range of bounded operators on right quaternionic Banach spaces
In this paper, we establish and study some properties of the spatial numerical range of right linear bounded operators on a right quaternionic Banach...
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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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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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Composition operators on variable exponent Lebesgue spaces
We study composition operators between variable exponent Lebesgue spaces and characterize boundedness and compactness of the composition operators on...
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On the Generalized Drazin–Riesz Inverse for Closed Linear Operators
We introduce and study the generalized Drazin–Riesz inverse for closed linear operators on a Banach space. Among other things, we extend some...
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Primal-dual splittings as fixed point iterations in the range of linear operators
In this paper we study the convergence of the relaxed primal-dual algorithm with critical preconditioners for solving composite monotone inclusions...
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Operators with a non-trivial closed invariant affine subspace
We are concerned with the question of the existence of an invariant proper affine subspace for an operator A on a complex Banach space. It turns out...
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Compact Operators
Compactness of an operator goes one step beyond continuity. Its treatment is fundamental in many areas in Applied Analysis, particularly Differential...
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An extension of localization operators
We review at first the role of localization operators as a meeting point of three different areas of research, namely: signal analysis, quantization...