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.
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 |
Similar Items
-
Translation-invariant generalized topologies induced by probabilistic norms
by: Lafuerza Guillén, Bernardo, et al.
Published: (2014) -
Probabilistic total paranorms, F-norms and PN spaces
by: Ghaemi, M.B., et al.
Published: (2014) -
A common fixed point for operators in probabilistic normed spaces
by: Ghaemi, M.B., et al.
Published: (2014) -
Finite products of probabilistic normed spaces
by: Lafuerza Guillén, Bernardo
Published: (2014) -
Completion of probabilistic normed spaces
by: Lafuerza Guillén, Bernardo, et al.
Published: (2014)