ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER <i>CQ</i><sup>&#8727;</sup>-ALGEBRAS

Choonkil Park; Jung Rye Lee; Dong Yun Shin

doi:10.11948/2015050

2015 Volume 5 Issue 4

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Choonkil Park, Jung Rye Lee, Dong Yun Shin. ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER CQ∗-ALGEBRAS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 635-650. doi: 10.11948/2015050

Citation:

Choonkil Park, Jung Rye Lee, Dong Yun Shin. ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER CQ^∗-ALGEBRAS[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 635-650. doi: 10.11948/2015050

ISOMORPHISMS,DERIVATIONS AND ISOMETRIES IN PROPER CQ^∗-ALGEBRAS

1 Department of Applied Statistics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea;
2 Department of Mathematics, Daejin University, Kyeonggi 487-711, Korea;
3 Department of Mathematics, University of Seoul, Seoul 130-743, Korea

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Abstract

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, Isometries and isometric isomorphisms in proper CQ^∗-algebras are studied.
- Cauchy-Jensen functional equation /
- proper CQ^∗-algebra isomorphism /
- isometry /
- isometric isomorphism /
- proper Lie(Jordan)CQ^∗-algebra homomorphism /
- derivation /
- Lie(Jordan)derivation
MSC: 47N50;47L60;39B52;39B72;47L90;46H35;46B03;47Jxx;17A40;17C65;46K70;47B48;46L05

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References

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