Extreme points for positive forms on \(\ell ^ p\) (Q1104514)
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scientific article; zbMATH DE number 4056289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extreme points for positive forms on \(\ell ^ p\) |
scientific article; zbMATH DE number 4056289 |
Statements
Extreme points for positive forms on \(\ell ^ p\) (English)
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1987
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The author characterises in the finite dimensional case the extreme points of the convex sets of the bilinear forms on \(\ell^ p\times \ell^ q\) \((p>1\), \(q>1\), \(p^{-1}+q^{-1}\leq 1)\) which have non- negative coefficients, norm bounded by one. The results are then extended to the multilinear case.
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extreme points of the convex sets of the bilinear forms on \(\ell ^ p\times \ell ^ q\)
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multilinear case
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