Results 271 to 280 of about 14,437 (302)

Measures of weak non-compactness in 𝐿₁(𝜇)-spaces

Proceedings of the American Mathematical Society, 2023
Disjoint sequence methods from the theory of Riesz spaces are used to study measures of weak non-compactness in L 1 ( μ ) L_{1}(\mu ) -spaces. A principal new result of the present paper is the following: Let E E be an abstract M M
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On measures of non-compactness and applications to embeddings

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author discusses the compactness and noncompactness of imbeddings between Orlicz spaces and weighted Sobolev spaces. Important tools are capacity estimates and special measures of noncompactness studied in the author's previous work [see e.g. Z. Anal. Anwend. 15, No. 2, 299-307 (1996; Zbl 0849.47031)].
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Measures of non–compactness of classical embeddings of Sobolev spaces

Mathematische Nachrichten, 2003
AbstractLet Ω be an open subset of ℝn and let p ∈ [1, n). We prove that the measure of non–compactness of the Sobolev embedding Wk,p0(Ω) → Lp*(Ω) is equal to its norm. This means that the entropy numbers of this embedding are constant and equal to the norm.
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A Viewpoint to Measure of Non-Compactness of Operators in Banach Spaces

Acta Mathematica Scientia, 2020
In this article, among other things the author investigated the representation of the measure of non-compactness of operators in Banach spaces.
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Remarks on Interpolation Properties of the Measure of Weak Non ‐‐ Compactness and Ideal Variations

Mathematische Nachrichten, 1999
AbstractWe estimate the ideal measure of certain interpolated operators in terms of the measure of their restrictions to the intersection. The dual situation is also studied. Special attention is paid to the ideal of weakly compact operators.
Cobos, Fernando, Martínez, Antón
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15.—The Measure of Non-compactness of Some Linear Integral Operators

Proceedings of the Royal Society of Edinburgh. Section A. Mathematical and Physical Sciences, 1973
SynopsisThe measure of non-compactness of linear integral operators on the half-line [0, ∞) of a special type is studied. In particular, a necessary and sufficient condition is established for an operator of this type to define a compact operator from L2(0, ∞) into itself. These results are then used to discuss the spectrum of second-order differential
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On the non-compactness of the core of nonatomic convexσ-continuous measure games

Applied Mathematics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Interpolation theory and measures of non‐compactness

Mathematische Nachrichten, 1981
Teixeira, M. F., Edmunds, D. E.
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Time to add screening for financial hardship as a quality measure?

Ca-A Cancer Journal for Clinicians, 2021
Cathy J Bradley, K Robin Yabroff, Ya-Chen Tina Shih   +2 more
exaly  

Existence results for some fractional stochastic integro-differential equations via measures of non-compactness

Summary: Using fixed point theorems is one method used to prove the existence of solutions in many types of integral equations. This study focuses on applying a generalization of Petryshyn's fixed point theorem to solve a general form of fractional stochastic integro-differential equations in the Banach algebra \(C([0,a])\). Besides stating and proving
Kazemi, Manochehr, Yaghoobnia, Alireza, Mishra, Vishnu Narayan   +2 more
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