Théorèmes de factorisation dans les algèbres normées complètes non associatives

M. Akkar; M. Laayouni

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 2, page 253-264
  • ISSN: 0010-1354

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Akkar, M., and Laayouni, M.. "Théorèmes de factorisation dans les algèbres normées complètes non associatives." Colloquium Mathematicae 70.2 (1996): 253-264. <http://eudml.org/doc/210410>.

@article{Akkar1996,
author = {Akkar, M., Laayouni, M.},
journal = {Colloquium Mathematicae},
keywords = {Jordan-Banach algebras; factorization; factorization theorems; nonassociative complete algebras; approximate identities},
language = {fre},
number = {2},
pages = {253-264},
title = {Théorèmes de factorisation dans les algèbres normées complètes non associatives},
url = {http://eudml.org/doc/210410},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Akkar, M.
AU - Laayouni, M.
TI - Théorèmes de factorisation dans les algèbres normées complètes non associatives
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 2
SP - 253
EP - 264
LA - fre
KW - Jordan-Banach algebras; factorization; factorization theorems; nonassociative complete algebras; approximate identities
UR - http://eudml.org/doc/210410
ER -

References

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  1. [1] P. G. Dixon, Unbounded approximate identity in normed algebras, Glasgow Math. J. 34 (1992), 189-192. Zbl0779.46043
  2. [2] S. Doran and J. Wichman, Approximate Identities and Factorization in Banach Modules, Lecture Notes in Math. 768, Springer, 1979. 
  3. [3] H. Hanche-Olsen and E. Stοrmer, Jordan Operator Algebras, Pitman Adv. Publ. Program, 1984. 
  4. [4] N. Jacobson, Structure and Representations of Jordan Algebras, Amer. Math. Soc. Colloq. Publ. 39, Providence, R.I., 1968. 
  5. [5] K. McCrimmon, Noncommutative Jordan rings, Trans. Amer. Math. Soc. 158 (1971), 1-33. Zbl0229.17002
  6. [6] K. McCrimmon, Norms and noncommutative Jordan algebras, Pacific J. Math. 15 (1965), 925-956. Zbl0139.25501
  7. [7] K. McCrimmon, The radical of a Jordan algebra, Proc. Nat. Acad. Sci. U.S.A. 62 (1969), 671-678. Zbl0175.31002
  8. [8] R. D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, 1966. Zbl0145.25601
  9. [9] A. M. Sinclair, Bounded approximate identities, factorization and a convolution algebra, J. Funct. Anal. 29 (1978), 308-318. Zbl0385.46030
  10. [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. 

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