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Matematicheskie Zametki, 2016, Volume 99, Issue 4, Pages 483–488
DOI: https://doi.org/10.4213/mzm10779 (Mi mzm10779) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Inequality for a Trace on a Unital $C^*$-Algebra

A. M. Bikchentaev

Kazan (Volga Region) Federal University
Full-text PDF (440 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm10779
Abstract: A new inequality for a trace on a unital $C^*$-algebra is established. It is shown that the inequality obtained characterizes the traces in the class of all positive functionals on a unital $C^*$-algebra. A new criterion for the commutativity of unital $C^*$-algebras is proved.
Keywords: unital $C^*$-algebra, positive functional, trace on a $C^*$-algebra.
Received: 14.04.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 4, Pages 487–491
DOI: https://doi.org/10.1134/S0001434616030214
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. M. Bikchentaev, “Inequality for a Trace on a Unital $C^*$-Algebra”, Mat. Zametki, 99:4 (2016), 483–488; Math. Notes, 99:4 (2016), 487–491
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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