The space of operator valued functions seen as Hilbert H*-module
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Published:2021
Issue:123
Volume:109
Page:1-8
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ISSN:0350-1302
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Container-title:Publications de l'Institut Math?matique (Belgrade)
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language:en
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Short-container-title:Publ Inst Math (Belgr)
Affiliation:
1. Department of Mathematics, University of Belgrade, Serbia
Abstract
Let M be a space of weakly*-measurable functions F : ? ? B(H) on measure
space (?,?,?), for which the function F*F is Gel'fand integrable and
Gel'fand integral ? ? F*F d? is a nuclear operator on Hilbert space H. We
show that M is Hilbert H*-module which contains an orthonormal basis.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Subject
General Mathematics