Théorèmes de factorisation dans les algèbres normées complètes non associatives

• Autorzy: M. Akkar , M. Laayouni
• Języki publikacji: FR

Słowa kluczowe

EN

Jordan-Banach algebras; factorization

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 2
• Strony: 253-264

Daty

wydano

1996

otrzymano

1995-01-03

poprawiono

1995-08-30

Twórcy

autor

M. Akkar

• Université de Bordeaux I, U.F.R. de Mathématiques et Informatique, 33405 Talence Cedex, France

autor

M. Laayouni

• Université de Bordeaux I, U.F.R. de Mathématiques et Informatique, 33405 Talence Cedex, France

Bibliografia

• [1] P. G. Dixon, Unbounded approximate identity in normed algebras, Glasgow Math. J. 34 (1992), 189-192.
• [2] S. Doran and J. Wichman, Approximate Identities and Factorization in Banach Modules, Lecture Notes in Math. 768, Springer, 1979.
• [3] H. Hanche-Olsen and E. Stοrmer, Jordan Operator Algebras, Pitman Adv. Publ. Program, 1984.
• [4] N. Jacobson, Structure and Representations of Jordan Algebras, Amer. Math. Soc. Colloq. Publ. 39, Providence, R.I., 1968.
• [5] K. McCrimmon, Noncommutative Jordan rings, Trans. Amer. Math. Soc. 158 (1971), 1-33.
• [6] K. McCrimmon, Norms and noncommutative Jordan algebras, Pacific J. Math. 15 (1965), 925-956.
• [7] K. McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671-678.
• [8] R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, 1966.
• [9] A. M. Sinclair, Bounded approximate identities, factorization and a convolution algebra, J. Funct. Anal. 29 (1978), 308-318.
• [10] K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov and A. I. Shirshov, Rings That are Nearly Associative, Academic Press, New York, 1982.