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Matematicheskie Zametki, 2011, Volume 89, Issue 4, Pages 483–494
DOI: https://doi.org/10.4213/mzm8640 (Mi mzm8640) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Commutation of Projections and Trace Characterization on von Neumann Algebras. II

A. M. Bikchentaev

Kazan (Volga Region) Federal University
Full-text PDF (501 kB) Citations (21)
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DOI: https://doi.org/10.4213/mzm8640
Abstract: We obtain new necessary and sufficient commutation conditions for projections in terms of operator inequalities. These inequalities are applied for trace characterization on von Neumann algebras for the class of all positive normal functionals.
Keywords: projection, von Neumann algebra, Hilbert space, trace, commutation of operators, normal functional, linear bounded operator, operator inequality.
Received: 23.06.2009
Revised: 22.04.2010
English version:
Mathematical Notes, 2011, Volume 89, Issue 4, Pages 461–471
DOI: https://doi.org/10.1134/S0001434611030175
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: A. M. Bikchentaev, “Commutation of Projections and Trace Characterization on von Neumann Algebras. II”, Mat. Zametki, 89:4 (2011), 483–494; Math. Notes, 89:4 (2011), 461–471
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm8640
  • https://www.mathnet.ru/eng/mzm/v89/i4/p483
    Cycle of papers
    This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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