A study of boundedness in probabilistic normed spaces

被引：37

作者：

Guillén, BL ^{[1
]}

Lallena, JAR

Sempi, C

机构：

[1] Univ Almeria, Dept Estadist & Matemat Aplicada, Almeria 04120, Spain

[2] Univ Lecce, Dipartimento Matemat Ennio De Giorgi, I-73100 Lecce, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1999年 / 232卷 / 01期

关键词：

D O I：

10.1006/jmaa.1998.6261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed analysis of various boundedness notions for linear operators between such spaces and we study the relationship among them and also with the notion of continuity. (C) 1999 Academic Press.

引用

页码：183 / 196

页数：14

共 17 条

[1] Continuity properties of probabilistic norms [J].

Alsina, C ;

Schweizer, B ;

Sklar, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (02) :446-452

[2]

Alsina C., 1993, ACQUATIONES MATH, V46, P91

[3]

[Anonymous], SOV MATH DOKL

[4] PROBABILISTIC TOPOLOGICAL SPACES [J].

FRANK, MJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (01) :67-&

[5]

GUILLEN BL, 1997, REND MAT, V17, P237

[6]

GUILLEN BL, 1995, INT J MATH MATH SCI, V18, P649

[7]

HOHLE U, 1977, B ACAD POL SCI SMAP, V25, P493

[8]

James I. M., 1990, INTRO UNIFORM SPACES

[9]

PROCHASKA BJ, 1967, THESIS CLEMSON U

[10]

RADU V, 1975, CR ACAD SCI A MATH, V280, P1303

← 1 2 →