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Caractérisations Spectrales du Radical et du Socle d’Une Paire de Jordan-Banach

Published online by Cambridge University Press:  20 November 2018

Abdelaziz Maouche*
Affiliation:
Département de mathématiques et de statistique, Université Laval, Cité Universitaire, Québec G1K 7P4, e-mail: maouche@mat.ulaval.ca
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Abstract

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1997

References

1. Aupetit, B., A Primer on Spectral Theory. Universitext, Springer-Verlag, 1991.Google Scholar
2. Aupetit, B., Spectral characterization of the radical in Banach and Jordan-Banach algebras. Math. Proc. Cambridge Philos. Soc. 114 (1993), 3135.Google Scholar
3. Aupetit, B. and Baribeau, L., Sur le socle dans les algèbres de Jordan-Banach. Canad. J. Math. 41 (1989), 10901100.Google Scholar
4. Aupetit, B. and Zraïbi, A., Proprietés analytiques du spectre dans les algèbres de Jordan-Banach. Manuscripta Math. 38 (1982), 381386.Google Scholar
5. Barnes, B. A., On the existence of minimal inner ideals in a Banach algebra. Trans. Amer. Math. Soc. 133 (1968), 511517.Google Scholar
6. Benslimane, M. and Rodríguez Palacios, A., Caractérisation spectrale des algèbres de Jordan-Banach non commutatives complexes modulaires annihilatrices. J.Algebra 140 (1991), 344354.Google Scholar
7. D’amour, A. and McCrimmon, K., The Local Algebra of Jordan Systems. J.Algebra 177 (1995), 199239.Google Scholar
8. Hessenberger, G., A spectral characterization of the socle of Banach Jordan systems. preprint.Google Scholar
9. Hessenberger, G., Inessential and Riesz elements in Banach Jordan systems. Quart. J.Math. Oxford (2) 47 (1996), 337347.Google Scholar
10. Loos, O., Jordan Pairs. Lecture Notes in Math. 460, Springer Verlag, 1975.Google Scholar
11. Loos, O., On the socle of a Jordan pair. Collect. Math. 40 (1989), 109125.Google Scholar
12. Loos, O., Properly algebraic and spectrum-finite ideals in Jordan Systems.Math. Proc. Cambridge Philos. Soc. 114 (1993), 149161.Google Scholar
13. Maouche, A., Extension d’un Théorème de Harte et Applications aux Algèbres de Jordan-Banach. Mh. Math. 122 (1996), 205213.Google Scholar
14. Maouche, A., Théorie spectrale dans les systèmes de Jordan-Banach. Thèse de Doctorat, Ph.D, Université Laval, Québec, 1994.Google Scholar
15. Martinez, J., Holomorphic functional calculus in Jordan-Banach algebras. Ann. Sci.Univ. Blaise pascal, Clermont II, Ser.Math. Fasc 27 (1991), 125134.Google Scholar
16. Rickart, C. E., General Theory of Banach Algebras. D. Van Nostrand, Princeton, 1960.Google Scholar
17. Słodkowski, Z., Analytic Set-Valued Functions and Spectra. Math. Ann. 256 (1981), 363386.Google Scholar
18. Vladimirov, V. S., Les fonctions de plusieurs variables complexes. Dunod, Paris, 1967.Google Scholar