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Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras
Joint Authors
Ramírez, María Isabel
Peralta, Antonio M.
Puglisi, Daniele
Garcés, Jorge J.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 Asa∩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∞hnΘ~(an)=∑n=1∞Θ(an)hn uniformly in a∈U.
When B is abelian, the hypothesis of B being unital and f(U)∩inv(B)≠∅ can be relaxed to get the same statement.
American Psychological Association (APA)
Garcés, Jorge J.& Peralta, Antonio M.& Puglisi, Daniele& Ramírez, María Isabel. 2013. Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-470344
Modern Language Association (MLA)
Garcés, Jorge J.…[et al.]. Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-470344
American Medical Association (AMA)
Garcés, Jorge J.& Peralta, Antonio M.& Puglisi, Daniele& Ramírez, María Isabel. Orthogonally Additive and Orthogonality Preserving Holomorphic Mappings between C*-Algebras. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-470344
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470344