The von Neumann inequality for linear matrix functions of several variables
被引:0
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作者:
D. S. Kalyuzhnyi
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机构:Odessa State Academy for Building and Architecture,
D. S. Kalyuzhnyi
机构:
[1] Odessa State Academy for Building and Architecture,
来源:
Mathematical Notes
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1998年
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64卷
关键词:
Hilbert space;
generalized von Neumann inequality;
commuting contractions;
matrix-valued polynomial;
D O I:
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摘要:
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.
机构:
Indian Stat Inst, Stat & Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, Karnataka, IndiaIndian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
机构:
Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, B dul Carol 1,11, Iasi 700506, RomaniaGheorghe Asachi Tech Univ Iasi, Dept Math & Informat, B dul Carol 1,11, Iasi 700506, Romania
Roman, Marcel
Sandovici, Adrian
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机构:
Gheorghe Asachi Tech Univ Iasi, Dept Math & Informat, B dul Carol 1,11, Iasi 700506, RomaniaGheorghe Asachi Tech Univ Iasi, Dept Math & Informat, B dul Carol 1,11, Iasi 700506, Romania