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Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras
dc.contributor.author | Garcés Pérez, Jorge José | |
dc.contributor.author | Peralta, Antonio Miguel | |
dc.contributor.author | Puglisi, Daniele | |
dc.contributor.author | Ramírez, María Isabel | |
dc.date.accessioned | 2014-04-23T09:42:52Z | |
dc.date.available | 2014-04-23T09:42:52Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Garcés, J.J.; Peralta, A.M.; Puglisi, D.; Ramírez, M.I. Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras. Abstract and Applied Analysis, 2013: 415354 (2013). [http://hdl.handle.net/10481/31360] | es_ES |
dc.identifier.uri | http://hdl.handle.net/10481/31360 | |
dc.description.abstract | We study holomorphic maps between C * -algebras A and B, when f: BA (0, ρ) → B is a holomorphic mapping whose Taylor series at zero is uniformly converging in some open unit ball U = BA (0, δ). If we assume that f is orthogonality preserving and orthogonally additive on A s a ∩ U and f (U) contains an invertible element in B, then there exist a sequence (hn) in B * * and Jordan * -homomorphisms Θ, Θ: M (A) → B * * such that f (x) = ∑ n = 1 ∞ h n Θ (an) = ∑n = 1 ∞ Θ (an) hn uniformly in a ∈ U. When B is abelian, the hypothesis of B being unital and f (U) ∩ i n v (B) ≠ ∅ can be relaxed to get the same statement. | es_ES |
dc.description.sponsorship | The authors are partially supported by the Spanish Ministry of Economy and Competitiveness, D.G.I. Project no. MTM2011-23843, and Junta de Andalucía Grant FQM3737. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Hindawi Publishing Corporation | es_ES |
dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | es_ES |
dc.subject | Polynomials | es_ES |
dc.subject | Spaces | es_ES |
dc.subject | C(K) | es_ES |
dc.title | Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.identifier.doi | 10.1155/2013/415354 |