Théorèmes de factorisation dans les algèbres completes de Jordan

• Autores: M. Laayouni, M. Akkar
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 46, Fasc. 3, 1995 (Ejemplar dedicado a: Professor Paul Dubreil (In memoriam )), págs. 239-254
• Idioma: francés
• Enlaces
  • Texto completo
• Resumen

  • A generalization of a result of Cohen-Hewitt is given in the case of Jordan-Banach algebras. Some precisions of factorization are obtained.

• Referencias bibliográficas
  • A. A. Albert, A structure theory for Jordan algebras, Ann. of Math. 48 (1947), 546–567.
  • P. G. Dixon, Topologically nilpotent Banach algebras and factorisation, Proc. Roy. Soc. Edinburgh Sect. A 119 (1991), 329–341.
  • S. Doran and J. Wichman, Approximate identities and factorization in Banach modules, Lecture Notes in Mathematics 768, Springer-Verlag, 1979.
  • N. Jacobson, Structure and representations of Jordan algebras, Amer. Math. Soc. Colloq. Publ. 39, Providence, 1968.
  • K. McCrimmon, Noncommutative Jordan rings, Trans. Amer. Math. Soc. 158 (1971), 1–33.
  • K. McCrimmon, Norms and noncommutative Jordan-algebras, Pacific J. Math. 15 (1965), 925–956.
  • K. McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671–678.
  • H. H. Olsen and E. Stormer, Jordan operator algebras, Pitmann, 1984.
  • R. D. Schafer, An introduction to nonassociative algebras, Academic Press Inc., 1966.