EuDML | Browse

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 61 – 80 of 107

On some new characterizations of weakly compact sets in Banach spaces

Lixin Cheng, Qingjin Cheng, Zhenghua Luo (2010)

Studia Mathematica

We show several characterizations of weakly compact sets in Banach spaces. Given a bounded closed convex set C of a Banach space X, the following statements are equivalent: (i) C is weakly compact; (ii) C can be affinely uniformly embedded into a reflexive Banach space; (iii) there exists an equivalent norm on X which has the w2R-property on C; (iv) there is a continuous and w*-lower semicontinuous seminorm p on the dual X* with $p \geq s u p_{C}$ such that p² is everywhere Fréchet differentiable in X*; and as a...

On the separation of closed, convex sets

Nikolaos S. Papageorgiou (1986)

Commentationes Mathematicae Universitatis Carolinae

On topological groups with a small base and metrizability

Saak Gabriyelyan, Jerzy Kąkol, Arkady Leiderman (2015)

Fundamenta Mathematicae

A (Hausdorff) topological group is said to have a -base if it admits a base of neighbourhoods of the unit, $U_{α} : α \in ℕ^{ℕ}$ , such that $U_{α} \subset U_{β}$ whenever β ≤ α for all $α, β \in ℕ^{ℕ}$ . The class of all metrizable topological groups is a proper subclass of the class $T G_{}$ of all topological groups having a -base. We prove that a topological group is metrizable iff it is Fréchet-Urysohn and has a -base. We also show that any precompact set in a topological group $G \in T G_{}$ is metrizable, and hence G is strictly angelic. We deduce from this result...

Order continuous seminorms and weak compactness in Orlicz spaces.

Marian Nowak (1993)

Collectanea Mathematica

Let L-phi be an Orlicz space defined by a Young function phi over a sigma-finite measure space, and let phi* denote the complementary function in the sense of Young. We give a characterization of the Mackey topology tau(L*,L-phi*) in terms of some family of norms defined by some regular Young functions. Next we describe order continuous (=absolutely continuous) Riesz seminorms on L-phi, and obtain a criterion for relative sigma(L-phi,L-phi*)-compactness in L-phi. As an application we get a representation...

Paracompact Spaces and Radon Spaces

Rodriguez-Salinas, Baltasar (1999)

Serdica Mathematical Journal

We prove that if E is a subset of a Banach space whose density is of measure zero and such that (E, weak) is a paracompact space, then (E, weak) is a Radon space of type (F ) under very general conditions.

Points extrêmaux dans un monoide affine semitopologique.

J.P. Troallic, E. Menard (1985)

Semigroup forum

Points fixes des contractions de certains faiblement compacts de $L^{1}$

B. Maurey (1980/1981)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Pointwise compactness and continuity of the integral.

G. Vera (1996)

Revista Matemática de la Universidad Complutense de Madrid

In this paper we bring together the different known ways of establishing the continuity of the integral over a uniformly integrable set of functions endowed with the topology of pointwise convergence. We use these techniques to study Pettis integrability, as well as compactness in C(K) spaces endowed with the topology of pointwise convergence on a dense subset D in K.

Pointwise Compactness and Weakly Compact Sets in L...

Surjit Singh Khurana (1981)

Mathematische Zeitschrift

Quelques remarques sur la propriété (C) des espaces de Banach

Gilles Godefroy (1977)

Séminaire Choquet. Initiation à l'analyse

Reflexivity and Completeness in Vector-Lattices.

Johan F. Aarness (1968)

Mathematica Scandinavica

Resolutions of the identity in certain Banach spaces.

Manuel Valdivia (1988)

Collectanea Mathematica

Set quantities and Tauberian operators.

Falcon, Sergio, Sadarangani, Kishin (2001)

Abstract and Applied Analysis

Sobre ciertas clases de conjuntos en espacios localmente convexos.

Manuel Valdivia (1980)

Collectanea Mathematica

In this paper we obtain several classes of separated locally convex spaces which are M-spaces. We give also some results on compact convex sets and new characterization of weak compactness.

Sobre espacios localmente convexos de Rosenthal.

J. Motos, J. L. Hueso (1987)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Some General Methods for Constructing Stable Convex Sets.

Gabriel Debs (1979)

Mathematische Annalen

Some Properties of Hausdorff Measure of Noncompactness on Locally Bounded Topological Vector Spaces

Ivan D. Aranđelović, Marina M. Milovanović-Aranđelović (1997)

Matematički Vesnik

Sur la génération des fonctions boréliennes fortement affines sur un convexe compact métrisable

Alain Louveau (1986)

Annales de l'institut Fourier

On définit un filtre coanalytique sur les entiers tel que pour tout convexe compact métrisable $K$ , les fonctions boréliennes fortement affine sur $K$ , i.e. vérifiant les égalités barycentriques, soient exactement les limites simples suivant ce filtre de suites de fonctions affines continues sur $K$ .

Sur les cones faiblement complets, contenus dans un espace de Banach.

Richard Becker (1989)

Mathematische Annalen

Sur les convexes compacts dont l’ensemble des points extrémaux est $𝒦$ -analytique

Michel Talagrand (1979)

Bulletin de la Société Mathématique de France

Currently displaying 61 – 80 of 107

Previous Page 4 Next