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Sums of Idempotents in Banach Algebras

Published online by Cambridge University Press:  20 November 2018

N. J. Kalton
N. J. Kalton*
Affiliation:
Department of Mathematics, University of Missouri-Columbia, ColumbiaMO. 65211
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Abstract

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We prove that the sum of two idempotents is in a Banach algebra is itself an idempotent if and only if it is power-bounded.

Keywords

46H05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 4 , 01 December 1988 , pp. 448 - 451
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Boas, R. P., Entire Functions Academic Press, New York, 1954.Google Scholar
2. Bonsall, F. F. and Duncan, J., Numerical Ranges of Operators on Normed Spaces and Elements of Normed Algebras London Math. Soc. Lecture Note Series 2, Cambridge, 1971.Google Scholar