This article is cited in 13 papers

The von Neumann inequality for linear matrix functions of several variables

D. S. Kalyuzhnyi

Odessa State Academy of Building and Architecture

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.

UDC: 517.982

Received: 16.10.1997

DOI: 10.4213/mzm1389

 English version: Mathematical Notes, 1998, 64:2, 186–189

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