Dominated bilinear forms and 2-homogeneous polynomials
Functional Analysis
2015-10-02 v2
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 cotX be the infimum of the cotypes assumed by X and (cotX)* be its conjugate. The main result of this note asserts that if cotX > 2, then for every 1<= r < (cotX)* there exists a non-r-dominated 2-homogeneous polynomial on X.
Cite
@article{arxiv.0905.2079,
title = {Dominated bilinear forms and 2-homogeneous polynomials},
author = {G. Botelho and D. Pellegrino and P. Rueda},
journal= {arXiv preprint arXiv:0905.2079},
year = {2015}
}
Comments
8 pages