| Title:
|
Normal cones and $C^*$-$m$-convex structure (English) |
| Author:
|
El Kinani, A. |
| Author:
|
Nejjari, M. A. |
| Author:
|
Oudadess, M. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
467-472 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of normal cones is used to characterize $C^*$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras. (English) |
| Keyword:
|
$m$-convexity |
| Keyword:
|
normal cone |
| Keyword:
|
$C^*$-structure |
| Keyword:
|
$C^*$-$m$-convex structure |
| MSC:
|
46K05 |
| MSC:
|
46L05 |
| MSC:
|
46L99 |
| idZBL:
|
Zbl 1090.46041 |
| idMR:
|
MR1920521 |
| . |
| Date available:
|
2009-01-08T19:23:53Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119335 |
| . |
| Reference:
|
[1] Apostol C.: $b^{*}$-algebras and their representation.J. London Math. Soc. 3 (1971), 30-38. Zbl 0207.44401, MR 0284816 |
| Reference:
|
[2] Bonsall F.F., Duncan J.: Complete normed algebras.Ergebnisse der Mathematik, Band 80, Springer Verlag, 1973. Zbl 0271.46039, MR 0423029 |
| Reference:
|
[3] Birbas D.G.: Pták' function and symmetry.Rend. Circ. Math. Palermo, Série II, (1998), pp. 431-446. Zbl 0926.46043, MR 1659993 |
| Reference:
|
[4] Fragoulopoulou M.: Symmetric topological $*$-algebras; applications.Schriftenreihe Math. Inst. Grad. Univ. Münster, 3. Ser., Heft 9 (1993). MR 1230385 |
| Reference:
|
[5] Fragoulopoulou M.: An introduction to the representation theory of topological $*$-algebras.Schriftenreihe Math. Inst. Univ. Münster, 2. Ser. 48 (1988). MR 1122808 |
| Reference:
|
[6] Mallios A.: Topological Algebras, Selected Topics.North Holland, Amsterdam, 1986. Zbl 0597.46046, MR 0857807 |
| Reference:
|
[7] Pták V.: Banach algebras with involution.Manuscripta Math. 6 (1972), 245-290. MR 0296705 |
| . |
