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


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

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