On the representation of orthogonally additive polynomials in $\ell_p$

Details On the representation of orthogonally additive polynomials in $\ell_p$ On the representation of orthogonally additive polynomials in $\ell_p$

2012-03-13

arxiv.org/abs/1203.2968v1

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

Mathematics

Functional Analysis

Scientific paper

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 $kp\leq k$.

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