Results 1 to 10 of about 1,298 (143)
Measure of weak noncompactness and real interpolation of operators [PDF]
Bulletin of the Australian Mathematical Society, 2000 A new measure of weak noncompactness is introduced. A logarithmic convexity-type result on the behaviour of this measure applied to bounded linear operators under real interpolation is proved. In particular, it gives a new proof of the theorem showing that if at least one of the operators T: Ai → Bi, i = 0, 1 is weakly compact, then so is T : Aθ,p → Bθ,
Kryczka, Andrzej +2 more
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Measure of weak noncompactness under complex interpolation [PDF]
Studia Mathematica, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kryczka, Andrzej, Prus, Stanisław
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Filomat, 2023 In the present paper we introduce a new concept of measuring, called the measure of non-almost weak noncompactness. We use this measure to characterize the almost weakly compact operators and to investigate the generalized Schechter essential spectrum of the sum of two bounded linear operators.
Rabeb Aydi, Bilel Krichen
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Measure of Weak Noncompactness and Fixed Point Theorems in Banach Algebras with Applications [PDF]
Axioms, 2019 In this paper, we prove some fixed point theorems for the nonlinear operator A · B + C in Banach algebra. Our fixed point results are obtained under a weak topology and measure of weak noncompactness; and we give an example of the application of our results to a nonlinear integral equation in Banach algebra.
Mohamed Amine Farid +3 more
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Remarks on a measure of weak noncompactness in the Lebesgue space [PDF]
Bulletin of the Australian Mathematical Society, 1995 Using the concept of equi-integrability we introduce a measure of weak noncompactness in the Lebesgue space L1(0, l). We show that this measure is equal to the classical De Blasi measure of weak noncompactness.
Banaś, Józef, Sadarangani, Kishin
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Weak Solution for a Fractional Langevin Inclusion with the Katugampola–Caputo Fractional Derivative
Fractal and Fractional, 2023 In this work, we examine the existence of weak solution for a class of boundary value problems involving fractional Langevin inclusion with the Katugampola–Caputo fractional derivative under specified conditions contain the Pettis integrability ...
Lamya Almaghamsi
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Real Interpolation and Measure of Weak Noncompactness
Mathematische Nachrichten, 1995 AbstractBehavior of weak measures of noncompactness under real interpolation is investigated. It is shown that “convexity type” theorems hold true for weak measures of noncompactness.
Aksoy, A. G., Maligranda, Lech
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Relative $$\varepsilon$$-pseudo weak demicompactness and measures of weak noncompactness
Annals of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chtourou, Ines, Krichen, Bilel
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On measures of weak noncompactness
Publicationes Mathematicae Debrecen, 1994 A notion of measure of weak noncompactness is introduced which generalizes the De Blasi measure of weak noncompactness. Some properties of this generalized measure are proved. The existence of bounded weak solutions of certain differential equations is shown.
MieczysÃlaw Cichoń
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Convexification of super weakly compact sets and measure of super weak noncompactness
Proceedings of the American Mathematical Society, 2021 Let \(A\) be a subset of a Banach space \(X\), and let \(\textrm{co}(A)\) and \(\textrm{aff}(A)\) denote the convex hull and the affine hull of \(A\). We say that a subset \(B\) of a Banach space \(Y\) is \textit{finitely representable in \(A\)} if for every finite subset \(B_0\) of \(B\) and \(r>1\) there is a finite subset \(A_0\) of \(A\) and an ...
Kun Tu
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