Julia's lemma for operators

DOI10.1007/BF01351489zbMath0378.47004WikidataQ116689883 ScholiaQ116689883MaRDI QIDQ1246882

Ky Fan

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163221

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60)

Related Items (16)

Analytic operator functions ⋮ Pick-Julia theorems for holomorphic maps in \(J^ *\)-algebras and Hilbert spaces ⋮ Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Inequalities for proper contractions and strictly dissipative operators ⋮ Noncommutative Pick-Julia theorems for generalized derivations in \(\mathrm{Q}, \mathrm{Q}^\ast\) and Schatten-von Neumann ideals of compact operators ⋮ Orbituary: ``Ky Fan (1914--2010), he spent every waking moment thinking about mathematics ⋮ On strictly positive operators ⋮ A CERTAIN SUBCLASS OF MULTIVALENT ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS FOR OPERATOR ON HILBERT SPACE ⋮ Geometric properties for a family of holomorphic functions associated with Wanas operator defined on complex Hilbert space ⋮ The matrix valued triangle inequality:quaternion version ⋮ Unnamed Item ⋮ Operator-valued typically real functions induced by a contraction ⋮ Noncommutative Schwarz lemma and Pick-Julia theorems for generalized derivations in norm ideals of compact operators ⋮ Iteration of analytic functions of operators. II† ⋮ Ky Fan inequalities

Cites Work

• Julia's lemma for function algebras
• The multiplicative structure of 𝐽-contractive matrix functions
• Analytic functions of a proper contraction
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