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Nearly Jordan ∗-Homomorphisms between Unital C∗-Algebras
Joint Authors
Gharetapeh, S. Kaboli
Ebadian, A.
Gordji, Madjid Eshaghi
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-06-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Let A, B be two unital C∗-algebras.
We prove that every almost unital almost linear mapping h : A→B which satisfies h(3nuy+3nyu)=h(3nu)h(y)+h(y)h(3nu) for all u∈U(A), all y∈A, and all n=0,1,2,…, is a Jordan homomorphism.
Also, for a unital C∗-algebra A of real rank zero, every almost unital almost linear continuous mapping h:A→B is a Jordan homomorphism when h(3nuy+3nyu)=h(3nu)h(y)+h(y)h(3nu) holds for all u∈I1 (Asa), all y∈A, and all n=0,1,2,….
Furthermore, we investigate the Hyers- Ulam-Aoki-Rassias stability of Jordan ∗-homomorphisms between unital C∗-algebras by using the fixed points methods.
American Psychological Association (APA)
Ebadian, A.& Gharetapeh, S. Kaboli& Gordji, Madjid Eshaghi. 2011. Nearly Jordan ∗-Homomorphisms between Unital C∗-Algebras. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477573
Modern Language Association (MLA)
Ebadian, A.…[et al.]. Nearly Jordan ∗-Homomorphisms between Unital C∗-Algebras. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-477573
American Medical Association (AMA)
Ebadian, A.& Gharetapeh, S. Kaboli& Gordji, Madjid Eshaghi. Nearly Jordan ∗-Homomorphisms between Unital C∗-Algebras. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-477573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477573