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Diyala Journal for Pure Science

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


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Diyala Journal for Pure Science DJPS


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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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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