Orthogonally additive holomorphic functions of bounded type over C(K)

DOI10.1017/S0013091509000248zbMath1217.46028arXiv0810.5352OpenAlexW2964319682MaRDI QIDQ4933542

Ignacio Zalduendo, Silvia Lassalle, Daniel Carando

Publication date: 14 October 2010

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.5352

zbMATH Keywords

orthogonally additiveholomorphic functions on C(K)

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach spaces of continuous, differentiable or analytic functions (46E15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (7)

Orthogonally additive polynomials on Banach function algebras ⋮ Orthogonally additive holomorphic functions on open subsets of \(C(K)\) ⋮ Orthogonally additive and multiplicative maps between Figá-Talamanca-Herz algebras ⋮ Orthogonally additive and orthogonality preserving holomorphic mappings between \(C^\ast\)-algebras ⋮ Orthogonally \(a\)-Jensen mappings on \(C^*\)-modules ⋮ Disjointness-preserving orthogonally additive operators in vector lattices ⋮ Orthogonally additive holomorphic maps between C$^{*}$-algebras

Cites Work

• Orthogonally additive polynomials over \(C(K)\) are measures. A short proof
• Orthogonally additive polynomials on spaces of continuous functions
• Integral holomorphic functions
• HOMOGENEOUS ORTHOGONALLY ADDITIVE POLYNOMIALS ON BANACH LATTICES
• Holomorphic functions on a Banach space

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