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DJPS

Diyala Journal For Pure Science

Scientific Refereed Journal Published By College of Science - University of Diyala

 

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djps.1403.417A

Diyala Journal For Pure Sciences DJPS

ISRA Impact Factor:3.715

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 14, Issue 3 , July . 2018

 

 

On Definition of Expansion Probabilistic Hilbert Space

 

Ahmed Hasan Hamed

 

Year: 2018, Volume: 14, Issue: 3

 

Pages: 59 - 73, DOI: http://dx.doi.org/10.24237/djps.1403.417A 

 

Language: English

 

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Abstract


 

The purpose of this paper is to give a new definition for Expansion probabilistic inner product space (EPIP-space) is given. Based on this definition several convergence theorems and definition for (EPH-space) are instituted and introduced. More over several linear bounded operators are given with some properties of such operators studied in this paper.

 

Keyword: linear bounded operator, EPH-space, -convergent, EPIP-space, self-adjoint

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