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Matematicheskie Zametki, 1998, Volume 64, Issue 2, Pages 218–223
DOI: https://doi.org/10.4213/mzm1389 (Mi mzm1389) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The von Neumann inequality for linear matrix functions of several variables

D. S. Kalyuzhnyi

Odessa State Academy of Building and Architecture
Full-text PDF (187 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm1389
Abstract: It is proved that there exist three commuting contractions in Hilbert space and a linear homogeneous matrix function of three independent variables for which the generalized von Neumann inequality is not satisfied.
Received: 16.10.1997
English version:
Mathematical Notes, 1998, Volume 64, Issue 2, Pages 186–189
DOI: https://doi.org/10.1007/BF02310304
Bibliographic databases:
UDC: 517.982
Language: Russian
Citation: D. S. Kalyuzhnyi, “The von Neumann inequality for linear matrix functions of several variables”, Mat. Zametki, 64:2 (1998), 218–223; Math. Notes, 64:2 (1998), 186–189
Citation in format AMSBIB
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\transl
\jour Math. Notes
\yr 1998
\vol 64
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\pages 186--189
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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