This is an announcement for the paper "On the representation of orthogonally additive polynomials in $\ell_p$" by A. Ibort, P. Linares, and J.G. Llavona.

Abstract: We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials $\mathcal{P}_o(^k\ell_p)$ is isometrically isomorphic to $\ell_{p/p-k}$ if $k<p<\infty$ and to $\ell_\infty$ if $1\leq p\leq k$.

Archive classification: math.FA

Mathematics Subject Classification: 46G25, 46B42, 46M05

Citation: Publ. Res. Inst. Math. Sci., 45 (2) 519-24 (2009)

Submitted from: albertoi@math.uc3m.es

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1203.2968

or

http://arXiv.org/abs/1203.2968