Results 81 to 90 of about 93,517 (188)

Applications of one inequality to measures of non-compactness and narrow operators [PDF]

Mathematical Inequalities & Applications, 2019
A version of the Dubinskii-Lions-Magenes inequality [\textit{Yu. A. Dubinskij}, Mat. Sb., Nov. Ser. 67(109), 609--642 (1965; Zbl 0145.35202)] reads as follows. Let \(E_0, E, E_1\) be Banach spaces, \(E_0\subset E\subset E_1\), and the embedding \(E_0\) into \(E\) be compact. Then, for every \(\varepsilon>0\), there exists a constant \(c_{\varepsilon}\)
openaire   +1 more source

Interpolation of the Measure of Non Compactness between Quasi-Banach Spaces

Revista Matemática Complutense, 2006
We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
openaire   +2 more sources

Some perturbation results for ascent and descent via measure of non-compactness

Filomat, 2018
The aim of this paper is to enlarge some known results from Fredholm and perturbation theory via measure of non-compactness. As applications, we focus on the study of the essential ascent and the essential descent spectra of an operator T defined on a given Banach space. Some perturbation results are also investigated.
Chafai, Ezzeddine, Boumazgour, Mohamed
openaire   +2 more sources

Measure of non-compactness and limiting interpolation with slowly varying functions

Banach Journal of Mathematical Analysis
AbstractWe give estimates for the measure of non-compactness of an operator interpolated by the limiting methods involving slowly varying functions. As applications we establish estimates for the measure of non-compactness of operators acting between Lorentz–Karamata spaces.
Fernando Cobos, Luz M. Fernández-Cabrera, Manvi Grover   +2 more
openaire   +3 more sources

MEASURE OF NON-COMPACTNESS IN THE LORENTZ SPACES

Научный вестник МГТУ ГА, 2016
Geometric characteristics of regular spaces are determined. Examples of regular spaces are the Lebesgue and Lorentz spaces, in particular. For the Lorentz spaces an inequality for arbitrary subsets, connecting the measures of noncompactness and are proved.
openaire   +1 more source

Measure of maximal entropy for H-flows on non-compact manifolds

In this work, we introduce a natural class of chaotic flows on non-compact manifolds, called H-flows, which includes geodesic flows on non-compact manifolds with pinched negative curvature. We show that, under the additional assumption, called strong positive recurrence, that their entropy at infinity is strictly smaller than the topological entropy ...
Florio, Anna, Schapira, Barbara, Vaugon, Anne   +2 more
openaire   +2 more sources

Connections between some measures of non-compactness and associated operators

, 1990
Some relationships between the Kuratowski's measure of noncompactness, the ball measure of noncompactness and the d-separation of the points of a set are studied in special classes of Banach spaces. These relations are applied to compare operators which are contractive for these measures.
Ayerbe Toledano, José María, Domínguez Benavides, Tomás, López Acedo, Genaro   +2 more
openaire   +2 more sources

A Cross-Domain Benchmark of Intrinsic and Post Hoc Explainability for 3D Deep Learning Models. [PDF]

J Imaging
Chakraborty A, Karagoz G, Meratnia N.
europepmc   +1 more source

Sharp Conditions for the BBM Formula and Asymptotics of Heat Content-Type Energies. [PDF]

Arch Ration Mech Anal
Gennaioli L, Stefani G.
europepmc   +1 more source

Characterising nanobody developability to improve therapeutic design using the Therapeutic Nanobody Profiler. [PDF]

Commun Biol
Gordon GL, Gervasio J, Souders C, Deane CM.   +3 more
europepmc   +1 more source