Complemented Hilbertian subspaces in rearrangement invariant function spaces
type: Item
instance of: scholarly article
title: Complemented Hilbertian subspaces in rearrangement invariant function spaces
zbMATH Open document ID: 0859.46019
author: Yves Raynaud
published in: Illinois Journal of Mathematics
publication date: 1997-04-07T00:00:00Z
review text: The author provides the details and further investigations to [the author; Séminaire d'Initiation à l'analyse, 32ème année, Expo. No. 15 (1993; review above)], concerning the rearrangement invariant function spaces \(X\), their Hilbertian subspaces and Hilbert valued extensions \(X(\ell_2)\). For a reference to rearrangement invariant function spaces, see \textit{J. Lindenstrauss} and \textit{L. Tzafriri} [``Classical Banach spaces. II: Function spaces'' (1979; Zbl 0403.46022)].
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 766569
zbMATH Keywords: rearrangement invariant function spaces
zbMATH Keywords: Hilbertian subspaces
zbMATH Keywords: Hilbert valued extension
reviewed by: Peng-Yee Lee
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 766569