Idempotents dans les algèbres de Banach

M. Berkani

Studia Mathematica (1996)

  • Volume: 120, Issue: 2, page 155-158
  • ISSN: 0039-3223

Abstract

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

How to cite

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Berkani, M.. "Idempotents dans les algèbres de Banach." Studia Mathematica 120.2 (1996): 155-158. <http://eudml.org/doc/216326>.

@article{Berkani1996,
author = {Berkani, M.},
journal = {Studia Mathematica},
keywords = {idempotent; Banach algebra; holomorphic functional calculus; idempotent elements},
language = {fre},
number = {2},
pages = {155-158},
title = {Idempotents dans les algèbres de Banach},
url = {http://eudml.org/doc/216326},
volume = {120},
year = {1996},
}

TY - JOUR
AU - Berkani, M.
TI - Idempotents dans les algèbres de Banach
JO - Studia Mathematica
PY - 1996
VL - 120
IS - 2
SP - 155
EP - 158
LA - fre
KW - idempotent; Banach algebra; holomorphic functional calculus; idempotent elements
UR - http://eudml.org/doc/216326
ER -

References

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  1. [1] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, Berlin, 1973. Zbl0271.46039
  2. [2] G. N. Hile and W. E. Pfaffenberger, Generalized spectral theory in complex Banach algebras, Canad. J. Math. 37 (1985), 1211-1236. Zbl0574.46038
  3. [3] G. N. Hile and W. E. Pfaffenberger, Idempotents in complex Banach algebras, ibid. 39 (1987), 625-630. Zbl0619.46045
  4. [4] A. M. Sinclair, The norm of a hermitian element in a Banach algebra, Proc. Amer. Math. Soc. 28 (1971), 446-450. Zbl0242.46035

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