A Dvoretsky Theorem for Polynomials

Sean Dineen

A Dvoretsky Theorem for Polynomials

Functional Analysis 2009-09-25 v1

Authors: Sean Dineen

Abstract

We lift upper and lower estimates from linear functionals to $n$ -homogeneous polynomials and using this result show that $l_\infty$ is finitely represented in the space of $n$ -homogeneous polynomials, $n\ge2$ , for any infinite dimensional Banach space. Refinements are also given.

Keywords

banach spaces polynomial theory positive polynomials

Cite

@article{arxiv.math/9402203,
  title  = {A Dvoretsky Theorem for Polynomials},
  author = {Sean Dineen},
  journal= {arXiv preprint arXiv:math/9402203},
  year   = {2009}
}

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