INVARIANT SUBSPACES FOR BISHOP-TYPE OPERATORS

被引：13
作者：
MACDONALD, GW
机构：
[1] Department of Mathematics, University of Toronto, Toronto
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1990年 / 91卷 / 02期
关键词：
D O I：
10.1016/0022-1236(90)90146-C
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Nontrivial hyperinvariant subspaces are exhibited for a class of weighted translation operators which includes many operators of the form MφUα, on L2[0, 1), where φ ε{lunate} Lα[0, 1) and Uα, is translation, modulo one, by an irrational α. In particular, if φ is the restriction to [0, 1) of a function analytic in some open neighbourhood of [0, 1] in the complex plane, then MφUα has a nontrivial hyperinvariant subspace for almost all α. © 1990.
引用
收藏
页码：287 / 311
页数：25
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