Proceedings of the American Mathematical Society

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
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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, $m \geq 3$ , on arbitrary infinite dimensional Banach spaces.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46G25, 46B20

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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