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Resolvents and Yosida Approximations of Displacement Map**s of Isometries
Maximally monotone operators are fundamental objects in modern optimization. The main classes of monotone operators are subdifferential operators and...
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Upper and Lower Generalized Drazin Invertible Linear Relations
This paper initiates a study of upper and lower generalized Drazin invertible linear relations classes. We first aim to give a characterization of...
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Relationships between inessential, strictly singular, strictly cosingular and improjective linear relations
This paper is devoted to study the interrelations between inessential, improjective, strictly singular and strictly cosingular linear relations....
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Lebesgue type decompositions and Radon–Nikodym derivatives for pairs of bounded linear operators
For a pair of bounded linear Hilbert space operators A and B one considers the Lebesgue type decompositions of B with respect to A into an almost...
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A Note on a Paper by Nieminen
A criteria due to Toivo Nieminen concerning selfadjoint linear operators in complex Hilbert spaces is extended to the case of linear relations.
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B-Fredholm linear relations in Hilbert spaces
In this paper, B -Fredholm linear relations in Hilbert spaces are introduced and some of their properties are given. In particular, it is shown that...
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A range matrix-type criterion for the self-adjointness of symmetric linear relations
The main objective of this paper is to provide a range-type criterion for the self-adjointness of symmetric linear relations in real or complex...
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On Hypercyclicity of Linear Relations
The notion of hypercyclic linear relations (multivalued linear operators) in a separable Hilbert space is introduced and studied. We give, in terms...
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Finite Rank and Small Perturbations of Linear Relations
In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under...
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Demicompact and k-D-Set-contractive Multivalued Linear Operators
In this paper, we extend the concept of demicompactness and k -set-contractive linear operators on multivalued linear operators and we develop some...
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Lebesgue type decompositions for linear relations and Ando’s uniqueness criterion
A linear relation, i. e., a multivalued operator T from a Hilbert space H to a Hilbert space K has Lebesgue type decompositions T T 1 is a closable...
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The isometric equivalence problem on various Banach spaces
In this paper we solve the isometric equivalence problem for composition operators on Hardy spaces of the bi-disk, for generalized composition...
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Approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations
This paper is concerned with approximation of eigenvalues below the essential spectra of singular second-order symmetric linear difference equations...
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Minimum modulus, perturbation for essential ascent and descent of a closed linear relation in Hilbert spaces
For a closed linear relation in a Hilbert space the notions of minimum modulus, essential g -ascent, essential ascent and essential descent are...
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Quasi-Fredholm and Semi-B-Fredholm Linear Relations
Quasi-Fredholm and semi-B-Fredholm linear relations in Banach spaces are defined in terms of conditions on their ranges and null spaces. We analyze...
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Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces
In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration...
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Left- and Right-Atkinson Linear Relation Matrices
Let X and Y be Banach spaces. When A and B are linear relations in X and Y , respectively, we denote by M C the linear relation in X × Y of the form
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