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Strongly ψ-Bounded and Classes of Linear Operators in Probabilistic Normed Space

Jebril, I.H., and Mohd. Salmi Md. Noorani , (2005) Strongly ψ-Bounded and Classes of Linear Operators in Probabilistic Normed Space. Bulletin of the Malaysian Mathematical Sciences Society, 28 (2). pp. 173-182. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v28n2/v28n2p8.pdf

Affiliations

Universiti Kebangsaan Malaysia, School of Mathematical Sciences.

Abstract

In this paper we redefined the definition of a bounded linear operator in probabilistic normed space by introducing the notion of strongly $\psi$-bounded linear maps. We then show that this new definition of boundedness implies all contraction functions in probabilistic normed space are bounded. Also, we introduce the classes of linear operators in probabilistic normed space, as the set of all certainly bounded $L_c (V,V')$, $D$-bounded $L_D (V,V')$, strongly $B$-bounded $L_B (V,V')$, and strongly $\psi$-bounded $L_\psi (V,V')$ we then prove they are linear spaces.

Item Type:Journal
Keywords:linear operators, probalistic normed space.
Subjects:Q Science, Computer Science
ID Code:1421

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