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The general local form of an analytic mapping into the set of idempotent elements of a Banach algebra
Author:
J.-Ph. Labrousse
Journal:
Proc. Amer. Math. Soc. 123 (1995), 3467-3471
MSC:
Primary 46H05
MathSciNet review:
1277122
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Abstract: This paper gives a general formula which describes any analytical mapping of a suitably small open neighborhood U in  into the set of idempotent elements of any complex Banach algebra B and an application of this formula to the case when B is a Calkin algebra.
- [1]
E. Catalan, Note sur une équation aux différences finies, J. Math. Pure Appl. 3 (1838), 508-517.
- [2]
Pierre
de la Harpe (ed.), Algèbres d’opérateurs,
Lecture Notes in Mathematics, vol. 725, Springer, Berlin, 1979
(French). Séminaire held at Les Plans-sur-Bex, 13–18 March
1978. MR
548109 (80g:46002)
- [3]
J.
H. van Lint and R.
M. Wilson, A course in combinatorics, Cambridge University
Press, Cambridge, 1992. MR 1207813
(94g:05003)
- [1]
- E. Catalan, Note sur une équation aux différences finies, J. Math. Pure Appl. 3 (1838), 508-517.
- [2]
- P. De La Harpe, Initiation à l'algèbre de Calkin, Lecture Notes in Math, vol. 725, Springer-Verlag, Berlin and New York, 1979, pp. 180-219. MR 548109 (80g:46002)
- [3]
- J. H. van Lint and R. M. Wilson, A course in combinatorics, Cambridge Univ. Press, London and New York, 1992, pp. 116-117. MR 1207813 (94g:05003)
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DOI:
http://dx.doi.org/10.1090/S0002-9939-1995-1277122-7
PII:
S 0002-9939(1995)1277122-7
Article copyright:
© Copyright 1995 American Mathematical Society
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