Perfectly Homogeneous Bases in Banach Spaces
-
Published:1975-04
Issue:1
Volume:18
Page:137-140
-
ISSN:0008-4395
-
Container-title:Canadian Mathematical Bulletin
-
language:en
-
Short-container-title:Can. math. bull.
Author:
Casazza P. G.,Lin Bor-Luh
Abstract
A bounded basis {xn} of a Banach space X is called perfectly homogeneous if every bounded block basic sequence {yn} of {xn} is equivalent to {xn}. By a result of M. Zippin [4], a basis in a Banach space is perfectly homogeneous if and only if it is equivalent to the unit vector basis of c0 or lp, 1 ≤ p < + ∞. A basis {xn} of a Banach space X is called symmetric, if every permutation {xσ(n)} of {xn} is a basis of X, equivalent to the basis {xn}. It is clear that every perfectly homogeneous basis is symmetric.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. On Schauder equivalence relations;Mathematical Logic Quarterly;2017-12