A few properties of the Kobayashi distance and their applications

DOI10.12775/TMNA.2000.013zbMath0969.32009MaRDI QIDQ1590133

Tadeusz Kuczumow, Jaroslaw Kapeluszny

Publication date: 30 September 2001

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

nonexpansive mappingKobayashi distancestrictly convex Banach spaceholomorphic mappingcondensing mappingKuratowski's measure of noncompactnessfixed point-free mapping

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20) Special families of functions of several complex variables (32A17) Holomorphic functions of several complex variables (32A10)

Related Items (5)

Holomorphic retracts in \(B_H^{\infty}\) ⋮ Theorems of Denjoy-Wolff type ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ INTERSECTIONS OF HOLOMORPHIC RETRACTS IN BANACH SPACES ⋮ Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\)

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