A Julia-Carathéodory theorem for hyperbolically monotone mappings in the Hilbert ball

DOI10.1007/s11856-008-0037-yzbMath1152.58005arXivmath/0608128OpenAlexW1988528088WikidataQ121427001 ScholiaQ121427001MaRDI QIDQ940755

Simeon Reich, Mark Elin, David M. Shoikhet

Publication date: 3 September 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608128

zbMATH Keywords

Hilbert spacehyperbolic metricJulia-Carathéodory theoremnonexpansive self-mapping of the unit ball

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Boundary behavior of holomorphic functions of several complex variables (32A40) Groups and semigroups of nonlinear operators (58D07)

Related Items

The Julia-Wolff-Carathéodory Theorem and Its Generalizations ⋮ Rigidity and parametric embedding of semi-complete vector fields on the unit disk ⋮ A Schwarz lemma at the boundary using the Julia-Wolff-Carathéodory type condition on finite dimensional irreducible bounded symmetric domains ⋮ A Schwarz lemma at the boundary on complex Hilbert balls and applications to starlike mappings ⋮ Resolvents of set-valued monotone vector fields in Hadamard manifolds ⋮ Boundary behavior of infinitesimal generators in the unit ball ⋮ Another look at the Burns-Krantz theorem ⋮ Convergence characteristics of one-parameter continuous semigroups ⋮ A Julia-Wolff-Carathéodory theorem for infinitesimal generators in the unit ball ⋮ Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball ⋮ Approximating fixed points of holomorphic mappings in the Hilbert ball

Cites Work

• On the boundary continuity of conformal maps
• Pluripotential theory, semigroups and boundary behavior of infinitesimal generators in strongly convex domains
• On fixed point theorems obtained from existence theorems for differential equations
• Semigroups and generators on convex domains with the hyperbolic metric
• Composition operators and classical function theory
• Generation theory for semigroups of holomorphic mappings in Banach spaces
• Parametric representations of semi-complete vector fields on the unit balls in \(\mathbb{C}^ n\) and in Hilbert space.
• Hyperbolic monotonicity in the Hilbert ball
• Asymptotic behavior of semigroups of \(p\)-non-expansive and holomorphic mappings on the Hilbert Ball
• Boundary Behavior of Semigroups of Holomorphic Mappings on the Unit Ball in C ⁿ
• Differential Equations on Closed Subsets of a Banach Space
• On boundary critical points for semigroups of analytic functions
• Dissipative holomorphic functions, Bloch radii, and the Schwarz lemma
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