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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...
Abstract: We prove a global compactness result for Palais-Smale sequences associated with a class of quasi-linear elliptic equations on exterior domains.
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...
Ordinal Compactness     Ordinal  compactness  topological space       2011/2/24
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...
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...
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...
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...
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...
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 ...
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
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) 相关项目 L-拓扑空间的紧化及Locale对的分离性
The concepts of b-compactness and b-closed spaces in the fuzzy setting are defined and investigated. Fuzzy filterbases are used to characterize these concepts. A comparison between these types and som...

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