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ISOMORPHISMS, DERIVATIONS AND ISOMETRIES IN PROPER CQ*-ALGEBRAS
- Authors
- Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun
- Issue Date
- Nov-2015
- Publisher
- Wilmington Scientific Publishers
- Keywords
- Cauchy-Jensen functional equation; proper CQ*-algebra isomorphism; isometry; isometric isomorphism; proper Lie (Jordan) CQ*-algebra homomorphism; derivation; Lie (Jordan) derivation
- Citation
- Journal of Applied Analysis and Computation, v.5, no.4, pp 635 - 650
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Applied Analysis and Computation
- Volume
- 5
- Number
- 4
- Start Page
- 635
- End Page
- 650
- ISSN
- 2156-907X
2158-5644
- Abstract
- In this paper, we investigate homomorphisms in proper CQ*-algebras, proper Lie CQ*-algebras and proper Jordan CQ*-algebras and derivations on proper CQ*-algebras, proper Lie CQ*-algebras and proper Jordan CQ*-algebras associated with the Cauchy-Jensen functional equation 2f (x+y/2 + z) = f (x) + f (y) + 2f (z), which was introduced and investigated in [3,28]. Furthermore, Isometrics and isometric isomorphisms in proper CQ*-algebras are studied.
- Appears in
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