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Injective factorization of holomorphic mappings
Author(s):
Manuel
González;
Joaquín
M.
Gutiérrez
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1715-1721.
MSC (1991):
Primary 46G20;
Secondary 47D50
Posted:
February 11, 1999
Errata:
Proc. Amer. Math. Soc. 129 (2001), 1255-1256
MathSciNet review:
1610897
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Abstract:
We characterize the holomorphic mappings  between complex Banach spaces that may be written in the form  , where  is another holomorphic mapping and  is an operator belonging to a closed injective operator ideal. Analogous results are previously obtained for multilinear mappings and polynomials.
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Additional Information:
Manuel
González
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cantabria, 39071 Santander, Spain
Email:
gonzalem@ccaix3.unican.es
Joaquín
M.
Gutiérrez
Affiliation:
Departamento de Matemáticas, ETS de Ingenieros Industriales, Universidad Politéc- nica de Madrid, C. José Gutiérrez Abascal 2, 28006 Madrid, Spain
Email:
jgutierrez@math.etsii.upm.es
DOI:
10.1090/S0002-9939-99-04917-5
PII:
S 0002-9939(99)04917-5
Keywords:
Factorization,
holomorphic mapping between Banach spaces,
multilinear mapping,
polynomial,
operator ideal
Received by editor(s):
September 10, 1997
Posted:
February 11, 1999
Additional Notes:
The first author was supported in part by DGICYT Grant PB 97--0349 (Spain).
The second author was supported in part by DGICYT Grant PB 96--0607 (Spain).
Communicated by:
Dale Alspach
Copyright of article:
Copyright
1999,
American Mathematical Society
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