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Closed surjective ideals of multilinear operators and interpolation
In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a...
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Preservers of Triple Transition Pseudo-Probabilities in Connection with Orthogonality Preservers and Surjective Isometries
We prove that every bijection preserving triple transition pseudo-probabilities between the sets of minimal tripotents of two atomic JBW
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Surjectivity of linear operators and semialgebraic global diffeomorphisms
We prove that a C ∞ semialgebraic local diffeomorphism of ℝ n with non-properness set having codimension greater than or equal to 2 is a global...
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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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On the Solvability of Linear Differential Operators on Vector Bundles over a Manifold
AbstractA necessary and sufficient condition is established for the closedness of the range or surjectivity of a differential operator acting on...
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Invertible and Isometric Weighted Composition Operators
We consider abstract Banach spaces of analytic functions on general bounded domains that satisfy only a minimum number of axioms. We describe all...
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Nonexpansive maps with surjective displacement
We investigate necessary and sufficient conditions for a nonexpansive map f on a Banach space X to have surjective displacement, that is, for
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Spaceability of the sets of surjective and injective operators between sequence spaces
We investigate algebraic structures within sets of surjective and injective linear operators between sequence spaces, completing results of Aron et...
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The ideal of operators factored through a Banach space with a basis
Let E be a Banach space with a Schauder basis. We investigate E -factorable operators and their operator ideals. Some characterizations of E -factorable...
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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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Weighted Composition Operators That Preserve Frames On Weighted Hardy Spaces
In this paper, we characterize weighted composition operators that preserve frames on the weighted Hardy spaces in the unit disk. In particular, we...
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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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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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Local Spectral Theory and Surjective Spectrum of Linear Relations
We initiate a study of local spectral theory for linear relations. At the beginning, we define the local spectrum and study its properties. Then we...
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Surjective L2-isometries on the Projection Lattice
Recently, Gehér and Šemrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional...
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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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Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...