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Dominated polynomials on infinite dimensional spaces
Author(s):
Geraldo
Botelho;
Daniel
Pellegrino;
Pilar
Rueda
Journal:
Proc. Amer. Math. Soc.
138
(2010),
209-216.
MSC (2000):
Primary 46G25, 46B20
Posted:
July 30, 2009
MathSciNet review:
2550185
Retrieve article in:
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Abstract |
References |
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Additional information
Abstract:
The aim of this paper is to prove a stronger version of a conjecture posed earlier on the existence of nondominated scalar-valued -homogeneous polynomials, , on arbitrary infinite dimensional Banach spaces.
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Additional Information:
Geraldo
Botelho
Affiliation:
Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902, Uber- lândia, Brazil
Email:
botelho@ufu.br
Daniel
Pellegrino
Affiliation:
Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa, Brazil
Email:
dmpellegrino@gmail.com
Pilar
Rueda
Affiliation:
Departamento de Análisis Matemático, Universidad de Valencia, 46.100 Burjasot, Valencia, Spain
Email:
pilar.rueda@uv.es
DOI:
10.1090/S0002-9939-09-10002-3
PII:
S 0002-9939(09)10002-3
Received by editor(s):
February 18, 2009,
Received by editor(s) in revised form:
April 6, 2009
Posted:
July 30, 2009
Additional Notes:
The first author was supported by CNPq Grants 620108/2008-8 and 306981/2008-4.
The second author was supported by INCT-Matemática, CNPq Grants 620108/2008-8, 308084/2006-3 and 471686/2008-5.
The third author was supported by Ministerio de Ciencia e Innovación MTM2008-03211/MTM
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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