On the representation of orthogonally additive polynomials in \(\ell _p\) (Q2271473)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the representation of orthogonally additive polynomials in \(\ell _p\) |
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On the representation of orthogonally additive polynomials in \(\ell _p\) (English)
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7 August 2009
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Summary: We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials \(P_o(^k\ell _p)\) is isometrically isomorphic to \(\ell _{p/p-k}\) if \(k<p<\infty \) and to \(\ell_ \infty \) if \(1\leq p \leq k\).
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orthogonally additive polynomials
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tensor diagonal
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