We present a new proof of a Sundaresan’s result which shows that the space of orthogonally additive polynomials P_o(kℓ_p) is isometrically isomorphic to ℓ_p/p−k_ if k < p <∞ and to ℓ∞ if 1 ≤ p ≤ k.
Cite this article
Alberto Ibort, Pablo Linares, José G. Llavona, On the Representation of Orthogonally Additive Polynomials in ℓ<sub>p</sub>. Publ. Res. Inst. Math. Sci. 45 (2009), no. 2, pp. 519–524