Orthogonally additive holomorphic maps between C$^{*}$-algebras

DOI10.4064/sm7922-6-2016zbMath1376.46032arXiv1512.07714OpenAlexW2962993349MaRDI QIDQ2835992

Ngai-Ching Wong, Qingying Bu, Ming-Hsiu Hsu

Publication date: 30 November 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07714

zbMATH Keywords

holomorphic maps $C^*$-algebras conformal maps homogeneous polynomials zero product preserving Banach-Stone theorems orthogonally additive n-isometry

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Linear composition operators (47B33) Jordan structures on Banach spaces and algebras (17C65)

Related Items (2)

Orthogonally additive and multiplicative maps between Figá-Talamanca-Herz algebras ⋮ Disjointness-preserving orthogonally additive operators in vector lattices

Cites Work

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Orthogonally additive holomorphic functions on open subsets of $C(K)$
Orthogonally additive and orthogonally multiplicative holomorphic functions of matrices
Jordan mappings of semiprime rings
Polynomials on Banach lattices and positive tensor products
Orthogonally additive polynomials over $C(K)$ are measures. A short proof
Banach lattices
The structure of standard $C^*$-algebras and their representations
Biseparating maps between operator algebras.
Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity
Weighted composition operators of $C_0 (X)$'s
Isometries between spaces of homogeneous polynomials
Lie and Jordan structures in Banach algebras
Representations, automorphisms, and derivations of some operator algebras
Isometries of operator algebras
On isomorphisms of standard operator algebras
ORTHOGONALLY ADDITIVE AND MULTIPLICATIVE POLYNOMIALS AND HOLOMORPHIC MAPS BETWEEN FOURIER ALGEBRAS
Orthogonally additive holomorphic functions on C^*-algebras
Automatic Continuity of Separating Linear Isomorphisms
ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS
A Banach-Stone theorem for Riesz isomorphisms of Banach lattices
ORTHOGONALITY PRESERVERS REVISITED
Ideal perturbations of elements in $C^*$-Algebras.
On Isometries of Jordan Algebras
Zero product preserving maps of operator-valued functions
Mappings preserving zero products
Compact and weakly compact disjointness preserving operators on spaces of differentiable functions
Orthogonally additive holomorphic functions of bounded type over C(K)
Banach-Stone theorem for Banach lattice valued continuous functions
HOMOGENEOUS ORTHOGONALLY ADDITIVE POLYNOMIALS ON BANACH LATTICES
Jordan Homomorphisms of Rings

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