Numerical Range of Holomorphic Mappings and Applications

DOI10.1007/978-3-030-05020-7zbMath1437.30001OpenAlexW2921791553MaRDI QIDQ4625847

Mark Elin, David M. Shoikhet, Simeon Reich

Publication date: 25 February 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-05020-7

zbMATH Keywords

numerical rangecomposition operatornonlinear semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Infinite-dimensional holomorphy (46G20) Groups and semigroups of linear operators (47D03) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Holomorphic maps in nonlinear functional analysis (46T25)

Related Items (17)

Abel ergodic theorems for strongly continuous cosine operators ⋮ Extensions of abstract Loewner chains and spirallikeness ⋮ Fekete-Szegö problem for Bavrin's functions and close-to-starlike mappings in \(\mathbb{C}^n\) ⋮ Bounds for \(\mathbb{A} \)-numerical radius based on an extension of \(A\)-Buzano inequality ⋮ The Fekete-Szegö functional and filtration of generators ⋮ Loewner chains applied to \(g\)-starlike mappings of complex order of complex Banach spaces ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\) ⋮ Abel ergodic theorems for $\alpha$-times integrated semigroups ⋮ Differentiability of semigroups of Lipschitz or smooth mappings ⋮ Nonlinear resolvent and rigidity of holomorphic mappings ⋮ On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables ⋮ Abel averages of holomorphic mappings ⋮ Nonlinear resolvent and rigidity of holomorphic mappings ⋮ \(g\)-Loewner chains, Bloch functions and extension operators in complex Banach spaces ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators ⋮ A sharpened form of the inverse function theorem ⋮ The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces

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