Idempotents dans les algèbres de Banach
Berkani, M.
Studia Mathematica, Tome 119 (1996), p. 155-158 / Harvested from The Polish Digital Mathematics Library

Using the holomorphic functional calculus we give a characterization of idempotent elements commuting with a given element in a Banach algebra.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:216326
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     author = {M. Berkani},
     title = {Idempotents dans les alg\`ebres de Banach},
     journal = {Studia Mathematica},
     volume = {119},
     year = {1996},
     pages = {155-158},
     zbl = {0865.46032},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv120i2p155bwm}
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Berkani, M. Idempotents dans les algèbres de Banach. Studia Mathematica, Tome 119 (1996) pp. 155-158. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv120i2p155bwm/

[00000] [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin, 1973. | Zbl 0271.46039

[00001] [2] G. N. Hile and W. E. Pfaffenberger, Generalized spectral theory in complex Banach algebras, Canad. J. Math. 37 (1985), 1211-1236. | Zbl 0574.46038

[00002] [3] G. N. Hile and W. E. Pfaffenberger, Idempotents in complex Banach algebras, ibid. 39 (1987), 625-630. | Zbl 0619.46045

[00003] [4] A. M. Sinclair, The norm of a hermitian element in a Banach algebra, Proc. Amer. Math. Soc. 28 (1971), 446-450. | Zbl 0242.46035