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ISOMORPHISMS, DERIVATIONS AND ISOMETRIES IN PROPER CQ*-ALGEBRASopen access

Authors
Park, ChoonkilLee, Jung RyeShin, Dong Yun
Issue Date
Nov-2015
Publisher
WILMINGTON SCIENTIFIC PUBLISHER, LLC
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
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
Volume
5
Number
4
Start Page
635
End Page
650
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143081
DOI
10.11948/2015050
ISSN
2156-907X
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.
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