A study of boundedness in probabilistic normed spaces

Citation
Bl. Guillen et al., A study of boundedness in probabilistic normed spaces, J MATH ANAL, 232(1), 1999, pp. 183-196
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
232
Issue
1
Year of publication
1999
Pages
183 - 196
Database
ISI
SICI code
0022-247X(19990401)232:1<183:ASOBIP>2.0.ZU;2-7
Abstract
Probabilistic normed spaces have been redefined by Alsina, Schweizer, and S klar. 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.