Dominated polynomials on infinite dimensional spaces
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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 $m$-homogeneous polynomials, $m \geq 3$, on arbitrary infinite dimensional Banach spaces.References
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Additional Information
- Geraldo Botelho
- Affiliation: Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902, Uber- lândia, Brazil
- MR Author ID: 638411
- 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
- MR Author ID: 636319
- Email: pilar.rueda@uv.es
- Received by editor(s): February 18, 2009
- Received by editor(s) in revised form: April 6, 2009
- Published electronically: 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 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 209-216
- MSC (2000): Primary 46G25, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-09-10002-3
- MathSciNet review: 2550185