Extension of polynomials and John’s theorem for symmetric tensor products

Carando, Daniel; Dimant, Verónica

doi:10.1090/S0002-9939-06-08666-7

Extension of polynomials and John’s theorem for symmetric tensor products
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by Daniel Carando and Verónica Dimant PDF

Proc. Amer. Math. Soc. 135 (2007), 1769-1773 Request permission

Abstract:

We show that for every infinite-dimensional normed space $E$ and every $k\geq 3$ there are extendible $k$-homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John.

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