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Interpolation of bilinear operators and compactness
interpolation Banach spaces bilinear operators compactness
2012/6/6
The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's com...
Global compactness for a class of quasi-linear elliptic problems
Quasi-linear equations global compactness of Palais-Smale sequences
2011/9/15
Abstract: We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
Existence of Minimizers of a class of multi-constrained variationnal problems in the absence of compactness, symmetry and monotonicity
Minimizers multi-constrained variationnal problems absence of compactness symmetry and monotonicity
2011/8/23
Abstract: We prove the existence of minimizers of a class of multi-constrained variational problems in which the non linearity involved does not sat- isfy compactness, monotonicity, neither symmetry p...
We extend to ordinal numbers the more usual com-pactness notion defined in terms of two cardinal numbers. Sur-prisingly, ordinal compactness turns out to be a much more var-ied notion than cardinal co...
Compactness of the $\bar\partial $ - Neumann operator on weighted $(0,q)$- forms
@-Neumann problem Sobolev spaces compactness
2011/2/24
As an application of a new characterization of compactness of the @-Neumann operator we derive a sufficient condition for compactness of the @- Neumann operator on (0, q)-forms in weighted L2-spaces o...
We investigate when the space $\mathcal O_X$ of open subsets of a topological space $X$ endowed with the Scott topology is core compact. Such conditions turn out to be related to infraconsonance of $X...
Extremal maps in best constants vector theory - Part I: Duality and Compactness
Extremal maps constants vector theory - Part I
2010/11/11
We develop a comprehensive study on sharp potential type Riemannian Sobolev inequalities of order 2 by means of a local geometric Sobolev inequality of same kind and suitable De Giorgi-Nash-Moser est...
Compactness properties of weighted summation operators on trees - the critical case
Metrics on trees operators on trees weighted summation operators
2010/12/6
The aim of this paper is to provide upper bounds for the entropy numbers of summation
operators on trees in a critical case. In a recent paper [10] we elaborated a framework of
weighted summation op...
A compactness result for Landau state in thin-film micromagnetics
compactness singular perturbation vortex N´ eel wall micromagnetics
2010/12/1
We deal with a nonconvex and nonlocal variational problem coming from thin-film micro-magnetics. It consists in a free-energy functional depending on two small parameters " and
and defined over vec...
Information theoretic measures of dependence,compactness,and non-gaussianity for multivariate probability distributions
Information theoretic measures non-gaussianity multivariate probability distributions
2009/10/30
A basic task of exploratory data analysis is the characterisation of "structure" in multivariate datasets. For bivariate Gaussian distributions, natural measures of dependence (the predictive relation...
On intrinsic compactness of regular solutions space of a class of higher order operator-differential equations
Hilbert spaces operator-differential equations
2010/9/14
In the paper we give definition of intrinsic compactness of regular solutions spaces of a class of higher order homogeneous operatordifferential equations and find sufficient conditions for intrinsic ...
Necessary and Sufficient Condition for Compactness of the Embedding Operator
Banach spaces Compactness Embedding operator
2008/6/30
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
On a measure of non-compactness for some classical operators
measure of non-compactness maximal functions singular integrals embeddings weight
2007/12/13
The measure of non-compactness is estimated from below for various operators, including the Hardy--Littlewood maximal opera\-tor, the fractional maximal operator and the Hilbert transform, all acting ...
期刊信息
篇名
The near SR-compactness axiom in L-topological spaces
语种
英文
撰写或编译
作者
Sheng-Gang Li
第一作者单位
刊物名称
Fuzzy Sets and Systems
页面
147(2004) 307-316
出版日期
2004年
月
日
文章标识(ISSN)
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To understand how protein reduces the conformational space to be searched for the native structure, it is crucial to characterize ensembles of conformations on the way of folding processes, in particu...