Gaps in the poset of projections in the Calkin algebra

被引：3

作者：

Zamora-Aviles, Beatriz ^{[1
]}

机构：

[1] York Univ, Dept Math & Stat, N York, ON M3J 1P3, Canada

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 202卷 / 01期

关键词：

AUTOMORPHISMS;

D O I：

10.1007/s11856-014-1057-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the gap structure of the partial order of projections of the Calkin algebra of a complex, separable, infinite-dimensional Hilbert space. We prove the existence of an analytic Hausdorff gap in this partial order. As a consequence we obtain that under Todorcevic's Axiom and MA the gap spectrum of P(C(H)) is strictly bigger than the gap spectrum of P(omega)/Fin.

引用

页码：105 / 115

页数：11