On the extensions of homogeneous polynomials
On the extensions of homogeneous polynomials
We investigate the problem of the uniqueness of the extension of $n$-homogeneous polynomials in Banach spaces. We show in particular that in a nonreflexive Banach space $X$ that admits contractive projection of finite rank of at least dimension 2, for every $n\ge 3$ there exists an $n$-homogeneous polynomial on $X$ …