Results 151 to 160 of about 93,517 (188)

KURATOWSKI'S MEASURE OF NON-COMPACTNESS REVISITED

The Quarterly Journal of Mathematics, 1988
The author earlier introduced the category of approach spaces with contractions, which contains the topological spaces with continuous maps as a bireflective and bicoreflective subcategory and the extended pseudo- quasi-metric spaces with non-expansive maps as a bicoreflective subcategory. A measure of non-compactness is defined for approach spaces and
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On a Measure of Non–compactness for Some Classical Operators

Acta Mathematica Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. E. EDMUNDS, FIORENZA, ALBERTO, A. MESKHI   +2 more
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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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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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Existence of periodic measures of fractional stochastic delay complex Ginzburg-Landau equations on Rn

Journal of Mathematics and Physics
This paper is concerned with periodic measures of fractional stochastic complex Ginzburg–Landau equations with variable time delay on unbounded domains. We first derive the uniform estimates of solutions.
Zhiyu Li, Xiaomin Song, Gang He, Ji Shu
semanticscholar   +1 more source

Difference of weighted composition operators

Journal of Functional Analysis, 2020
We obtain complete characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting on the standard weighted Bergman spaces over the unit disk.
B. Choe, Koeun Choi, H. Koo, Jongho Yang
semanticscholar   +1 more source

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
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