Common fixed points of commuting holomorphic mappings in Hilbert ball and polydisc

DOI10.1016/0362-546X(84)90081-6zbMath0564.47029OpenAlexW2068029315MaRDI QIDQ3678244

Tadeusz Kuczumow

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90081-6

zbMATH Keywords

commuting holomorphic maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Infinite-dimensional holomorphy (46G20)

Related Items (9)

Holomorphic retracts in \(B_H^{\infty}\) ⋮ Nonexpansive retracts and fixed points of nonexpansive mappings in the Cartesian product of n Hilbert balls ⋮ The Denjoy-Wolff theorem in \(\mathbb C^n\) ⋮ Common fixed points of commuting holomorphic mappings ⋮ Common fixed points of commuting holomorphic maps of the polydisc which are expanding on the torus ⋮ The existence and non-existence of common fixed points for commuting families of holomorphic mappings ⋮ The Denjoy-Wolff theorem for condensing holomorphic mappings ⋮ Iterates of holomorphic and \(k_ D\)-nonexpansive mappings in convex domains in \({\mathbb{C}}^ n\) ⋮ Existence of a holomorphic retraction onto a common fixed point set of a family of commuting holomorphic self-mappings of \(B _{H} ^{n}\)

Cites Work

• Common fixed points of commuting holomorphic maps of the hyperball
• Fixed points and invariant domains of holomorphic mappings of the Hilbert ball
• Fixed points of holomorphic mappings in the Hilbert ball
• Irregular convex sets with fixed-point property for nonexpansive mappings
• Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball
• Geometry on the Unit Ball of a Complex Hilbert Space
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