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The Property (D) and the Almost Limited Completely Continuous Operators
In this paper, we study some geometric properties in Banach lattices and the class of almost limited completely continuous operators. For example, we...
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Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators
Based on a characterization of upper semi-Fredholm operators due to A. Lebow and M. Schechter, we introduce and investigate a new quantity...
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Pseudodifferential operators with completely periodic symbols
Motivated by the recent paper of Boggiatto–Garello (J Pseudo-Differ Oper Appl 11:93–117, 2020) where a Gabor operator is regarded as...
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Operators with the Lipschitz bounded approximation property
We show that if a bounded linear operator can be approximated by a net (or sequence) of uniformly bounded finite rank Lipschitz map**s pointwisely,...
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Analysis of a class of completely non-local elliptic diffusion operators
This work explores the possibility of develo** the analog of some classic results from elliptic PDEs for a class of fractional ODEs involving the...
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Some results of essential spectra of sum of two bounded linear operators in non-Archimedean Banach space
In this paper, we extend some aspects of the essential spectra theory of linear operators acting in non-Archimedean (or p-adic) Banach spaces. In...
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On nth roots of bounded and unbounded quasinormal operators
In a recent paper (JFA 278:108342, 2020), R. E. Curto, S. H. Lee and J. Yoon asked the following question: Let T be a subnormal operator, and assume...
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Arveson’s Extension Theorem for Conditionally Unital Completely Positive Maps
AbstractConditionally unital completely positive maps are used to characterize generators of unital completely positive semigroups on
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Derivative bounded functional calculus of power bounded operators on Banach spaces
k]In this article we study bounded operators T on a Banach space X which satisfy the discrete Gomilko-Shi-Feng condition We show that it is...
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Invertibility Conditions for Nonlinear Autonomous Differential Operators in the Space of Functions Bounded on the Axis
We establish necessary and sufficient conditions for autonomous nonlinear differential operators defined in the space of functions bounded and...
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Wehrl-Type Inequalities for Bergman Spaces on Domains in \(\mathbb C^d\) and Completely Positive Maps
We prove certain Wehrl type \(L^p\) -inequalities for the...
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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...
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Nonlinear Autonomous Difference Operators in the Space of Bounded Sequences that are C1-Diffeomorphisms
We establish necessary and sufficient conditions for the invertibility of differentiable nonlinear autonomous difference operators in the space of...
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Local Korovkin-type approximation problems for bounded function spaces
The paper is concerned with some local approximation problems by special classes of positive linear operators acting on spaces of Borel measurable...
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Quantitative estimates for bounded holomorphic semigroups
We revisit the theory of one-parameter semigroups of linear operators on Banach spaces in order to prove quantitative bounds for bounded holomorphic...
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Semigroups of Completely Positive Maps
The main objective in this chapter is to study the quantum dynamical semigroups. Quantum dynamical semigroup is a semigroup of completely positive...