Almost locally minimal projections in finite dimensional Banach spaces

被引：2

作者：

Zippin, M ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 110卷 / 1期

关键词：

Banach Space; Israel Journal; Finite Dimensional Space; Isomorphic Type; Finite Dimensional Subspace;

D O I：

10.1007/BF02808183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A projection P on a Banach space X is called "almost locally minimal" if, for every alpha > 0 small enough, the ball B(P,alpha) in the space L(X) of all operators on X contains no projection Q with \\Q\\ less than or equal to \\P\\ (1 - D alpha(2)) where D is a constant. A necessary and sufficient condition for P to be almost locally minimal is proved in the case of finite dimensional spaces. This criterion is used to describe almost locally minimal projections on l(1)(n).

引用

页码：253 / 268

页数：16