Invariant and semi-invariant probabilistic normed spaces

We introduce the concept of semi-invariance among the PN spaces. In this paper we will find a sufficient condition for some PN spaces to be semi-invariant. We will show that PN spaces are normal(functional analysis) spaces.Urysohns's lemma, and Tietze extensions theorem for them are proved.

Bibliographic Details
Main Authors: Ghaemi, M.B., Lafuerza Guillén, Bernardo, Saiedinezhad, S.
Format: info:eu-repo/semantics/article
Language:English
Published: Chaos, solitons and fractals 2014
Subjects:
Online Access:http://hdl.handle.net/10835/2748