Dominated polynomials on infinite dimensional spaces

Botelho, Geraldo; Pellegrino, Daniel; Rueda, Pilar

doi:10.1090/S0002-9939-09-10002-3

Dominated polynomials on infinite dimensional spaces
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by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda PDF

Proc. Amer. Math. Soc. 138 (2010), 209-216 Request permission

Abstract:

The aim of this paper is to prove a stronger version of a conjecture posed earlier on the existence of nondominated scalar-valued $m$-homogeneous polynomials, $m \geq 3$, on arbitrary infinite dimensional Banach spaces.

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