Sums of Idempotents in Banach Algebras
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 448-451

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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.
DOI : 10.4153/CMB-1988-065-4
Mots-clés : 46H05
Kalton, N. J. Sums of Idempotents in Banach Algebras. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 448-451. doi: 10.4153/CMB-1988-065-4
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     author = {Kalton, N. J.},
     title = {Sums of {Idempotents} in {Banach} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {448--451},
     year = {1988},
     volume = {31},
     number = {4},
     doi = {10.4153/CMB-1988-065-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-065-4/}
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