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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 2, Pages 86–91 (Mi ivm8437)  
This article is cited in 27 scientific papers (total in 27 papers)

Brief communications

Block projection operators in normed solid spaces of measurable operators

A. M. Bikchentaev

Research Institute of Mathematics and Mechanics, Kazan (Volga region) Federal University, Kazan, Russia
Full-text PDF (183 kB) Citations (27)
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Abstract: We prove a Hermitian analog of the well-known operator triangle inequality for von Neumann algebras. In the semifinite case we show that a block projection operator is a linear positive contraction on a wide class of solid spaces of Segal measurable operators. We describe some applications of the obtained results.
Keywords: von Neumann algebra, triangle inequality, normal semifinite trace, solid space of measurable operators, block projection operator.
Received: 19.09.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 2, Pages 75–79
DOI: https://doi.org/10.3103/S1066369X12020107
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.986
Language: Russian
Citation: A. M. Bikchentaev, “Block projection operators in normed solid spaces of measurable operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 2, 86–91; Russian Math. (Iz. VUZ), 56:2 (2012), 75–79
Citation in format AMSBIB
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\by A.~M.~Bikchentaev
\paper Block projection operators in normed solid spaces of measurable operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 2
\pages 86--91
\mathnet{http://mi.mathnet.ru/ivm8437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076533}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 2
\pages 75--79
\crossref{https://doi.org/10.3103/S1066369X12020107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862668387}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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