A Dilation and Norm in Several Variable Operator Theory

DOI10.4153/CJM-1995-025-5zbMath0828.47004OpenAlexW2074457670MaRDI QIDQ4848373

Chi-Kwong Li, Douglas R. Farenick, Paul A. Binding

Publication date: 8 January 1996

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1995-025-5

zbMATH Keywords

commuting normal operatorsjoint spectral radii\(m\)-tuple of operators acting on a Hilbert spacecommon dilationjoint normal dilations

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Dilations, extensions, compressions of linear operators (47A20)

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The joint numerical range of commuting matrices, Joint k-numerical ranges of operators, The joint numerical radius on 𝐶*-algebras, On operators with closed numerical ranges, Preservation of the joint essential matricial range, Generalized numerical ranges, dilation, and quantum error correction, Joint numerical ranges and compressions of powers of operators, A connection between numerical ranges of selfadjoint matrix polynomials