Embedding unconditional stable Banach spaces into symmetric stable Banach spaces
type: Item
instance of: scholarly article
title: Embedding unconditional stable Banach spaces into symmetric stable Banach spaces
zbMATH Open document ID: 0609.46010
DOI: 10.1007/BF02786569
author: Jesús Bastero
published in: Israel Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The following result is proved: Every stable Banach space with an unconditional basis is isomorphic to a complemented subspace of some stable Banach space with with a symmetric basis. Moreover, the author shows the stability of the real interpolation spaces \((\ell^ p,\ell^ q)_{\theta,X}\) where \(1\leq p,q<\infty\) and X is stable. This last result has been recently extended by Y. Raynaud and the author by proving the stability of the real interpolation spaces \((A_ 0\), \(A_ 1)_{\theta,X}\), whenever X is stable and \(A_ 0\), \(A_ 1\) are stable r.i. spaces satisfying some other side conditions. This will appear in a forthcoming paper.
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B25
Mathematics Subject Classification ID: 46M35
zbMATH DE Number: 3985911
zbMATH Keywords: Every stable Banach space with an unconditional basis is isomorphic to a complemented subspace of some stable Banach space with with a symmetric basis
zbMATH Keywords: stability of the real interpolation spaces
MaRDI profile type: Publication
cites work: Q5185520
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cites work: Embedding Banach spaces with unconditional bases into spaces with symmetric bases
description: scientific article; zbMATH DE number 3985911