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ArticleOriginal scientific text

Title

Idempotents dans les algèbres de Banach

Authors 1, 2

Affiliations

  1. Département de Mathématiques, Faculté des Sciences, Oujda, Morocco
  2. International Centre for Theoretical Physics, Trieste, Italy

Abstract

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

Keywords

ENG
idempotent, Banach algebra

Bibliography

  1. F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin, 1973.
  2. G. N. Hile and W. E. Pfaffenberger, Generalized spectral theory in complex Banach algebras, Canad. J. Math. 37 (1985), 1211-1236.
  3. G. N. Hile and W. E. Pfaffenberger, Idempotents in complex Banach algebras, ibid. 39 (1987), 625-630.
  4. A. M. Sinclair, The norm of a hermitian element in a Banach algebra, Proc. Amer. Math. Soc. 28 (1971), 446-450.
Studia Mathematica
1996/120/2
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Pages:
155-158
Main language of publication
French
Received
1995-07-26
Accepted
1996-03-15
Published
1996
Exact and natural sciences