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.
主要な著者: | , , |
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フォーマット: | info:eu-repo/semantics/article |
言語: | English |
出版事項: |
Chaos, solitons and fractals
2014
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主題: | |
オンライン・アクセス: | http://hdl.handle.net/10835/2748 |
要約: | 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. |
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