Isometers in the Cartesian product of n unit open Hilbert balls with hyperbolic metric

DOI10.1007/BF01766157zbMath0676.46016OpenAlexW2090234400MaRDI QIDQ1122749

William O. Ray, Tadeusz Kuczumow

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766157

zbMATH Keywords

fixed point setscharacterization of isometries in the Cartesian products of n unit Hilbert balls with hyperbolic metrics

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (9)

The Carathéodory isometries between the products of balls ⋮ Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ Minimal Displacement of Points Under Holomorphic Mappings and Fixed Point Properties for Unions of Convex Sets ⋮ Common fixed points of commuting holomorphic mappings ⋮ The existence and non-existence of common fixed points for commuting families of holomorphic mappings ⋮ The Denjoy-Wolff theorem for condensing holomorphic mappings ⋮ Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\) ⋮ A note on Carathéodory isometries

Cites Work

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• Iterating Analytic Self-Maps of Discs
• Geometry on the Unit Ball of a Complex Hilbert Space
• On symplectic mappings of contraction operators
• SCHWARZ'S LEMMA IN NORMED LINEAR SPACES
• Automorphism Groups of Bounded Domains in Banach Spaces

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