The spectral boundary of complemented invariant subspaces in LP(R)

被引：0
|
作者：
Buczolich, Z
Olevskii, A
机构：
[1] Eotvos Lorand Univ, Dept Anal, H-1053 Budapest, Hungary
[2] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2001年 / 131卷
关键词：
D O I：
10.1017/S0308210500001104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we construct a compact set K of zero Hausdorff dimension that satisfies certain 'arithmetic-type' thickness properties. The concept of 'arithmetic thickness' has its origins in applications to harmonic analysis, introduced in a paper by Lebedev and Olevskii. For example, there are no spectral sets whose 'essential boundary' can contain the above set K.
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页码：785 / 798
页数：14
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