Normal cones and C * - m -convex structure

El Kinani, A.; Mohamed Amine Nejjari; Mohamed Oudadess

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 3, page 467-472
  • ISSN: 0010-2628

Abstract

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The notion of normal cones is used to characterize C * - m -convex algebras among unital, symmetric and complete m -convex algebras.

How to cite

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El Kinani, A., Nejjari, Mohamed Amine, and Oudadess, Mohamed. "Normal cones and $C^*$-$m$-convex structure." Commentationes Mathematicae Universitatis Carolinae 43.3 (2002): 467-472. <http://eudml.org/doc/248955>.

@article{ElKinani2002,
abstract = {The notion of normal cones is used to characterize $C^*$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras.},
author = {El Kinani, A., Nejjari, Mohamed Amine, Oudadess, Mohamed},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$m$-convexity; normal cone; $C^*$-structure; $C^*$-$m$-convex structure; -convexity; normal cone; -structure; --convex structure},
language = {eng},
number = {3},
pages = {467-472},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Normal cones and $C^*$-$m$-convex structure},
url = {http://eudml.org/doc/248955},
volume = {43},
year = {2002},
}

TY - JOUR
AU - El Kinani, A.
AU - Nejjari, Mohamed Amine
AU - Oudadess, Mohamed
TI - Normal cones and $C^*$-$m$-convex structure
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 3
SP - 467
EP - 472
AB - The notion of normal cones is used to characterize $C^*$-$m$-convex algebras among unital, symmetric and complete $m$-convex algebras.
LA - eng
KW - $m$-convexity; normal cone; $C^*$-structure; $C^*$-$m$-convex structure; -convexity; normal cone; -structure; --convex structure
UR - http://eudml.org/doc/248955
ER -

References

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  1. Apostol C., b * -algebras and their representation, J. London Math. Soc. 3 (1971), 30-38. (1971) Zbl0207.44401MR0284816
  2. Bonsall F.F., Duncan J., Complete normed algebras, Ergebnisse der Mathematik, Band 80, Springer Verlag, 1973. Zbl0271.46039MR0423029
  3. Birbas D.G., Pták' function and symmetry, Rend. Circ. Math. Palermo, Série II, (1998), pp. 431-446. Zbl0926.46043MR1659993
  4. Fragoulopoulou M., Symmetric topological * -algebras; applications, Schriftenreihe Math. Inst. Grad. Univ. Münster, 3. Ser., Heft 9 (1993). MR1230385
  5. Fragoulopoulou M., An introduction to the representation theory of topological * -algebras, Schriftenreihe Math. Inst. Univ. Münster, 2. Ser. 48 (1988). MR1122808
  6. Mallios A., Topological Algebras, Selected Topics, North Holland, Amsterdam, 1986. Zbl0597.46046MR0857807
  7. Pták V., Banach algebras with involution, Manuscripta Math. 6 (1972), 245-290. (1972) MR0296705

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