CONNECTEDNESS OF THE INVERTIBLES IN CERTAIN NEST-ALGEBRAS

被引：6
|
作者：
DAVIDSON, KR
ORR, JL
PITTS, DR
机构：
[1] UNIV WATERLOO,DEPT PURE MATH,WATERLOO,ON N2L 3G1,CANADA
[2] UNIV NEBRASKA,DEPT MATH,LINCOLN,NE 68588
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1995年 / 38卷 / 04期
关键词：
D O I：
10.4153/CMB-1995-060-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that if N is a nest with no isolated atoms of finite multiplicity, then the invertibles in T(N) are connected. The key technical ingredient is that in such nest algebras, every operator with zero atomic diagonal part factors through the non-atomic part of N. In particular, these results apply for the Cantor nest.
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页码：412 / 420
页数：9
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