Lemniscates and K-spectral sets

被引：5
|
作者：
Nevanlinna, Olavi [1 ]
机构：
[1] Aalto Univ, Dept Math & Syst Anal, FI-00076 Espoo, Aalto, Finland
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 04期
关键词：
von Neumann spectral sets; K-spectral sets; Lemniscates; Multicentric representation; Jacobi series; Riesz spectral projections; HILBERT-SPACE; OPERATORS;
D O I：
10.1016/j.jfa.2011.11.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show how multicentric representation of functions provides a simple way to generalize the von Neumann result that the unit disc is a spectral set for contractions in Hilbert spaces. In particular the sets need not be connected and the results can be applied to bounding Riesz spectral projections. (C) 2011 Elsevier Inc. All rights reserved.
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页码：1728 / 1741
页数：14
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