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

共 21 条

[1]

[Anonymous], MEMOIRS AM MATH SOC

[2]

[Anonymous], 2013, C R MATH ACAD SCI SO

[3]

[Anonymous], LECT NOTES MATH

[4] COMPLETELY ORDER ISOMORPHIC AND CLOSE C-STAR-ALGEBRAS NEED NOT BE STAR-ISOMORPHIC [J].

CHOI, MD ;

CHRISTENSEN, E .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1983, 15 (NOV) :604-610

[5]

Dales H.G., 1987, An introduction to independence for Analysts

[6]

Farah I., 2012, APPALACHIAN SET THEO, V406, P63

[7] Analytic Hausdorff gaps II: The density zero ideal [J].

Farah, Ilijas .

ISRAEL JOURNAL OF MATHEMATICS, 2006, 154 (1) :235-246

[8] All automorphisms of the Calkin algebra are inner [J].

Farah, Ilijas .

ANNALS OF MATHEMATICS, 2011, 173 (02) :619-661

[9]

Fremlin D. H., 1991, NOTE MAT, V11, P177

[10]

Kunen K., 1980, STUDIE LOGIC FDN MAT, V102

← 1 2 3 →