On the Representation of Orthogonally Additive Polynomials in $\ell_p$
Alberto Ibort, Pablo Linares, and José G. Llavona
Source: Publ. Res. Inst. Math. Sci. Volume 45, Number 2 (2009), 519-524.
Abstract
We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials $\Po_o(^k\ell_p)$ is isometrically isomorphic to $\ell_{p/p-k}$ if $k<p<\infty$ and to $\ell_\infty$ if $1\leq p\leq k$.
Primary Subjects: 46G25
Secondary Subjects: 46B42, 46M05
Keywords: Orthogonally additive polynomials; tensor diagonal
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.prims/1241553128
Digital Object Identifier: doi:10.2977/prims/1241553128
Zentralblatt MATH identifier:
05591481
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