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Ideal of multilinear \({\mathcal {F}}_{\vec {p},\vec {q}}\,\)-factorable operators and applications
In the present paper we introduce a method for generating ideals of linear and multilinear operators from what we call generalized left and right...
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Factorization of two-Lipschitz integral operators
We study the integrability and S -factorizability of two-Lipschitz operators between pointed metric spaces and Banach spaces. We also introduce a...
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Hyper-ideals of Multilinear Operators and Two-Sided Polynomial Ideals Generated by Sequence Classes
In the nonlinear field of multilinear operators and homogeneous polynomials between Banach spaces, we develop a technique, based on the...
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A universal formula for derivation operators and applications
We give a universal formula describing derivation operators on a Hilbert space for a large class of interpolation methods. It is based on a simple...
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Inverse rate-dependent Prandtl-Ishlinskii operators and applications
In the past years, we observed an increased interest in rate-dependent hysteresis models to characterize complex time-dependent nonlinearities in...
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Third Order Dynamical Systems for the Sum of Two Generalized Monotone Operators
In this paper, we propose and analyze a third-order dynamical system for finding zeros of the sum of two generalized operators in a Hilbert space
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Nonlinear variants of a theorem of Kwapień
A famous result of S. Kwapień asserts that a linear operator from a Banach space to a Hilbert space is absolutely 1-summing whenever its adjoint is...
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On Commutators of Compact Operators: Generalizations and Limitations of Anderson’s Approach
We offer a new perspective and some advances on the 1971 Pearcy-Top** problem: is every compact operator a commutator of compact operators? Our...
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Toeplitz density operators and their separability properties
Toeplitz operators (also called localization operators) are a generalization of the well-known anti-Wick pseudodifferential operators studied by...
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Banach spaces and operators
In this first chapter, we shall recall some notation and preliminary results within the functional analysis and related subjects that we shall use.
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Generalized Multiple Summing Multilinear Operators on Banach Spaces
In this paper, we provide an abstract approach to the study of classes of multiple summing multilinear operators between Banach spaces. The main...
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Spectrum Perturbations of Linear Operators in a Banach Space
This chapter is a survey of the recent results of the author on the spectrum perturbations of linear operators in a Banach space. It consists of...
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On the Nuclearity of Completely 1-Summing Map** Spaces
In this paper, we investigate the λ-nuclearity in the system of completely 1-summing map** spaces (Π 1 (·, ·), π 1 ). In Section 2, we obtain that ℂ is...
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Optimal Control of an Evolution Problem Involving Time-Dependent Maximal Monotone Operators
We consider a control problem in a finite-dimensional setting, which consists in finding a minimizer for a standard functional defined by way of two...
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Absolutely Summing Multipolynomials
In this paper we develop the theory of absolutely summing multipolynomials. Among other results, we generalize and unify previous works of G. Botelho...
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E-Operator Ideals Determined by Banach Spaces with Unconditional Bases
Let E be a Banach space with an 1-unconditional basis. In this paper, we introduce the notions of E -summing operators and E -dominated operators. We...
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Multiplication operators in BV spaces
The aim of this paper is to provide necessary and sufficient conditions on the generator of a multiplication operator acting in the spaces of...