Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras

Jorge J. Garcés, Antonio M. Peralta, Daniele Puglisi and María Isabel Ramírez

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

We study holomorphic maps between C -algebras and , when is a holomorphic mapping whose Taylor series at zero is uniformly converging in some open unit ball . If we assume that is orthogonality preserving and orthogonally additive on and contains an invertible element in , then there exist a sequence in and Jordan -homomorphisms such that uniformly in . When is abelian, the hypothesis of being unital and can be relaxed to get the same statement.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:415354

DOI: 10.1155/2013/415354

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