Minimal projections in bivariate function spaces
type: Item
instance of: scholarly article
title: Minimal projections in bivariate function spaces
zbMATH Open document ID: 0573.41043
DOI: 10.1016/0021-9045(85)90084-X
author: E. J. Halton
author: W. A. Light
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: (S,\(\Sigma\),\(\mu)\) and (T,\(\Theta\),\(\nu)\) are \(\sigma\)-finite, non-atomic measure spaces with S and T containing an infinite number of points. It is shown that the projection constants for \(L_ 1(S)+L_ 1(T)\) as a subspace of \(L_ p(S\times T)\) and for \(L_{\infty}(S)+L_{\infty}(T)\) as a subspace of \(L_{\infty}(S\times T)\) are both 3. An example of a minimal projection in both cases is exhibited.
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 3914917
zbMATH Keywords: Lp-spaces
zbMATH Keywords: example
zbMATH Keywords: minimal projection
MaRDI profile type: Publication
cites work: Positive and minimal projections in function spaces
full work available at URL: 0021-9045(85)90084-x
OpenAlex ID: W2053663266
description: scientific article; zbMATH DE number 3914917