Results 121 to 130 of about 1,488 (168)

RNA Structural Dynamics As Captured by Molecular Simulations: A Comprehensive Overview. [PDF]

Chem Rev, 2018
Šponer J, Bussi G, Krepl M, Banáš P, Bottaro S, Cunha RA, Gil-Ley A, Pinamonti G, Poblete S, Jurečka P, Walter NG, Otyepka M.   +11 more
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Remarks on the Istratescu measure of noncompactness

Collectanea Mathematica, 1993
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Measures of semi-noncompactness and AM-mappings

, 1990
In this paper, we define measures of semi-noncompactness in a locally convex topological linear space with respect to a given seminorm, and give some simple properties, including a fixed point theorem for a certain class of condensing mappings.
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Inequivalent measures of noncompactness

Annali di Matematica Pura ed Applicata, 2010
Let \(X\) be a Banach space and \({\mathcal B}(X)\) denote the set of all bounded subsets of \(X\). We say that a map \(\beta:{\mathcal B}(X)\to [0,\infty)\) is a homogeneous measure of noncompactness on \(X\) if for all \(S,T\in{\mathcal B}(X)\): (1) \(\beta(S)= 0\) iff \(\overline S\) is compact, (2) \(\beta(S)\leq\beta(T)\) for all \(S\subset T ...
Mallet-Paret, John, Nussbaum, Roger D.
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On measures of weak noncompactness

Annali di Matematica Pura ed Applicata, 1988
The authors give an axiomatic definition of measures of weak noncompactness which is in some sense parallel to \textit{B. N. Sadovskij}'s definition of measures of (strong) noncompactness [see e.g. Usp. Mat. Nauk 27, No.1, 81-146 (1972; Zbl 0243.47033)]. The first explicit measure of weak noncompactness is due to \textit{F. S. de Blasi} [Bull.
Banaś, Józef, Rivero, Jesus
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Strongly Generated Banach Spaces and Measures of Noncompactness

Mathematische Nachrichten, 1998
AbstractTo generalize the Hausdorff measure of noncompactness to other classes of bounded sets (like e. g. conditionally weakly compact or Asplund sets), we introduce Grothendieck classes. We deduce integral inequalities for quantities (called Grothendieck measures) related to these classes.
Kunze, Markus, Schlüchtermann, Georg
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Measures of noncompactness of interpolated polynomials

Forum Mathematicum, 2022
Abstract We study interpolation of the measure of noncompactness of homogeneous polynomials on Banach spaces. We prove that, for a large class of interpolation functors, preserving interpolation of measures of noncompactness of interpolated linear operators between Banach couples can be lifted to polynomials.
Mastyło, Mieczysław, da Silva, Eduardo Brandani   +1 more
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Measures of Noncompactness

1997
As we have seen in Chapter I, compactness plays an essential role in the proof of the Schauder fixed point theorem. However, there are some important problems where the operators are not compact.
J. M. Ayerbe Toledano, T. Domínguez Benavides, G. López Acedo   +2 more
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Measures of Noncompactness

1992
In this chapter we consider the basic notions connected with measures of noncompactness (MNCs for brevity) and condensing (or densifying) operators. We define and study in detail the three main and most frequently used MNCs: the Hausdorff MNC χ the Kuratowski MNC α, and the MNC β.
R. R. Akhmerov, M. I. Kamenskii, A. S. Potapov, A. E. Rodkina, B. N. Sadovskii   +4 more
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