Compactness in asymmetric normed spaces

被引：20

作者：

Alegre, C. ^{[1
]}

Ferrando, I. ^{[1
]}

Garcia-Raffi, L. M. ^{[1
]}

Perez, E. A. Sanchez ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Pura & Aplicada, E-46071 Valencia, Spain

来源：

TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 06期

关键词：

non-symmetric topology; asymmetric normed linear space; compactness;

D O I：

10.1016/j.topol.2007.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A systematic study of precompact and compact subsets on asymmetric normed linear spaces is developed, centering our attention in the case of linear lattices with an asymmetric norm. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：527 / 539

页数：13

共 18 条

[1] On the Hahn-Banach theorem: In certain linear quasi-uniform structures [J].

Alegre, C ;

Ferrer, J ;

Gregori, V .

ACTA MATHEMATICA HUNGARICA, 1999, 82 (04) :325-330

[2] On the structure of the complements of Chebyshev sets [J].

Alimov, AR .

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2001, 35 (03) :176-182

[3]

Cobzas S., 2004, Quaest. Math., V27, P275

[4] QUASI-UNIFORM STRUCTURES IN LINEAR LATTICES [J].

FERRER, J ;

GREGORI, V ;

ALEGRE, C .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (03) :877-884

[5]

Fletcher P., 1982, Quasi Uniform Spaces

[6]

Garcia-Raffi L. M., 2004, J ANAL APPL, V2, P125

[7]

Garcia-Raffi L.M., 2003, Quaest. Math, V26, P83, DOI [10.2989/16073600309486046, DOI 10.2989/16073600309486046]

[8] Compactness and finite dimension in asymmetric normed linear spaces [J].

García-Raffi, LM .

TOPOLOGY AND ITS APPLICATIONS, 2005, 153 (5-6) :844-853

[9]

García-Raffi LM, 2003, HOUSTON J MATH, V29, P717

[10] The bicompletion of an asymmetric normed linear space [J].

García-Raffi, LM ;

Romaguera, S ;

Sánchez-Pérez, EA .

ACTA MATHEMATICA HUNGARICA, 2002, 97 (03) :183-191

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