A study of boundedness in probabilistic normed spaces

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.

ग्रंथसूची विवरण
मुख्य लेखकों: Lafuerza Guillén, Bernardo, Rodríguez-Lallena, José Antonio, Sempi, Carlo
स्वरूप: info:eu-repo/semantics/article
भाषा:English
प्रकाशित: Journal of Mathematical Analysis and Applications 2014
विषय:
ऑनलाइन पहुंच:http://hdl.handle.net/10835/2740
विवरण
सारांश: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.