JournalsprimsVol. 46, No. 1pp. 201–208

Dominated Bilinear Forms and 2-homogeneous Polynomials

  • Geraldo Botelho

    Universidade Federal de Uberlândia, Brazil
  • Daniel Pellegrino

    Universidade Federal da Paraíba, João Pessoa, Brazil
  • Pilar Rueda

    Universitat de Valencia, Burjassot (Valencia), Spain
Dominated Bilinear Forms and 2-homogeneous Polynomials cover
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Abstract

The main goal of this note is to establish a connection between the cotype of the Banach space X and the parameters r for which every 2-homogeneous polynomial on X is r-dominated. Let cot X be the infimum of the cotypes assumed by X and (cot X)* be its conjugate. The main result of this note asserts that if cot X > 2, then for every 1r < (cot X)* there exists a non-r-dominated 2-homogeneous polynomial on X.

Cite this article

Geraldo Botelho, Daniel Pellegrino, Pilar Rueda, Dominated Bilinear Forms and 2-homogeneous Polynomials. Publ. Res. Inst. Math. Sci. 46 (2010), no. 1, pp. 201–208

DOI 10.2977/PRIMS/6