Iteration of compact holomorphic maps on a Hilbert ball
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Publication:4336652
DOI10.1090/S0002-9939-97-03761-1zbMath0871.46021OpenAlexW1548993673MaRDI QIDQ4336652
Publication date: 13 May 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03761-1
Infinite-dimensional holomorphy (46G20) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Special families of functions of several complex variables (32A17) Holomorphic functions of several complex variables (32A10) Nonassociative topological algebras (46H70)
Related Items (14)
Denjoy-Wolff theory for finite-dimensional bounded symmetric domains ⋮ Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups ⋮ Horoballs and iteration of holomorphic maps on bounded symmetric domains ⋮ A Wolff theorem for finite rank bounded symmetric domains ⋮ Random iterations, fixed points and invariant CRF-horospheres in complex Banach spaces ⋮ Iteration of holomorphic maps on Lie balls ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ Wolff–Denjoy theorems in geodesic spaces ⋮ The Denjoy-Wolff theorem in the open unit ball of a strictly convex Banach space ⋮ Holomorphic invariance on bounded symmetric domains ⋮ Random iterations of holomorphic contractions in locally convex spaces and of weaker contractions in uniform spaces ⋮ The existence and non-existence of common fixed points for commuting families of holomorphic mappings ⋮ The Denjoy-Wolff theorem for condensing holomorphic mappings ⋮ Random iterations of holomorphic maps in complex Banach spaces
Cites Work
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- Quelques propriétés des applications analytiques d'une boule à \(m\) dimensions dans elle-même
- Fixed points and invariant domains of holomorphic mappings of the Hilbert ball
- Iteration of holomorphic maps
- Iterates of Holomorphic Self-Maps of the Unit Ball in Hilbert Space
- Julia's Lemma and Wolff's Theorem For J ∗ -Algebras
- Iterating Analytic Self-Maps of Discs
- A Generalization of C* -Algebras
- Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
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