A Dvoretsky Theorem for Polynomials

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, $n\ge 2$, for any infinite dimensional Banach space. Refinements are also given.

References in corpus (1)

• Unconditionally converging polynomials on Banach spaces