Pick-Julia theorems for holomorphic maps in \(J^ *\)-algebras and Hilbert spaces

DOI10.1016/0022-247X(86)90179-4zbMath0612.46044WikidataQ122528514 ScholiaQ122528514MaRDI QIDQ1088126

Kazimierz Włodarczyk

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional calculusbounded symmetric homogeneous domainsgeneralized right half-planes in \(J^ *\)-algebrasholomorphic maps of bounded symmetric homogeneous domainsoperator- valued analytic functionsPick-Julia theorems

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic maps on manifolds (58C10) Linear spaces of operators (47L05) Nonassociative topological algebras (46H70)

Related Items (2)

Distortion of biholomorphic maps on homogeneous domains in \(J^*\)-algebras ⋮ Noncommutative Pick-Julia theorems for generalized derivations in \(\mathrm{Q}, \mathrm{Q}^\ast\) and Schatten-von Neumann ideals of compact operators

Cites Work

• Unnamed Item
• Iterations of holomorphic maps of infinite dimensional homogeneous domains
• Julia's lemma for operators
• Pick-Julia theorems for operators
• Operator Siegel Domains
• Analytic functions of a proper contraction

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