Inequalities for proper contractions and strictly dissipative operators

DOI10.1016/0024-3795(88)90016-XzbMath0669.47021MaRDI QIDQ1118798

Ky Fan

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

functional calculusstrictly dissipative operator\textit{Ky Fan} version of classical Harnack's inequalityinequalities for a proper contractionoperator-valued analytic function

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items

Harnack type inequalities for matrices in majorization ⋮ Borel-Carathéodory and Fan type inequalities for Hilbert space bicontractions ⋮ Harnack's theorem for harmonic compact operator-valued functions ⋮ On dissipative matrices ⋮ A Harnack type eigenvalue inequality ⋮ Ky Fan inequalities

Cites Work

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• The angular derivative of an operator-valued analytic function
• Julia's lemma for operators
• Pick-Julia theorems for operators
• Iteration of analytic functions of operators. II†
• Analytic functions of a proper contraction