Extreme points for positive forms on \(\ell ^ p\)
type: Item
instance of: scholarly article
title: Extreme points for positive forms on \(\ell ^ p\)
zbMATH Open document ID: 0647.46008
DOI: 10.1016/0024-3795(87)90151-0
published in: Linear Algebra and its Applications
publication date: 1987-01-01T00:00:00Z
review text: 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.
reviewed by: D. Somasundaram
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 4056289
zbMATH Keywords: extreme points of the convex sets of the bilinear forms on \(\ell ^ p\times \ell ^ q\)
zbMATH Keywords: multilinear case
author: S. W. Drury
MaRDI profile type: Publication
full work available at URL: 0024-3795(87)90151-0
OpenAlex ID: W2091777815
cites work: Tensor algebras and harmonic analysis
cites work: On non-triangular sets in tensor algebras
cites work: Q3941433
description: scientific article; zbMATH DE number 4056289