| Volume 5, Number 4, 2015, Pages 635-650 DOI：10.11948/2015050 |
| Isomorphisms, derivations and isometries in proper CQ*-algebras |
| Choonkil Park,Jung Rye Lee,Dong Yun Shin |
| Keywords:Cauchy-Jensen functional equation, proper $CQ^*$-algebra isomorphism, isometry, isometric isomorphism, proper Lie (Jordan) $CQ^*$-algebra homomorphism, derivation, Lie (Jordan) derivation |
| Abstract: |
| In this paper, we investigate homomorphisms in proper CQ-algebras, proper Lie CQ-algebras and proper Jordan CQ-algebras and deriva-tions on proper CQ-algebras, proper Lie CQ-algebras and proper JordanCQ-algebras associated with the Cauchy-Jensen functional equation2f(x + y2+ z)= f(x) + f(y) + 2f(z);which was introduced and investigated in [3, 28].Furthermore, Isometries and isometric isomorphisms in proper CQ-algebrasare studied. |
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