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.
引用
收藏
页码：1728 / 1741
页数：14
相关论文
共 50 条
  • [31] On a conjecture about spectral sets
    Belaid, K
    Echi, O
    TOPOLOGY AND ITS APPLICATIONS, 2004, 139 (1-3) : 1 - 15
  • [32] SPECTRAL SYNTHESIS FOR KRONECKER SETS
    SAEKI, S
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1969, 21 (04) : 549 - +
  • [33] Spectral sets and operator radii
    Badea, Catalin
    Crouzeix, Michel
    Klaja, Hubert
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2018, 50 (06) : 986 - 996
  • [34] HELSON SETS AND SPECTRAL SYNTHESIS
    BENEDETTO, JJ
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1972, 274 (02): : 169 - +
  • [35] Spectral sets and scalar dilations
    Putinar, M
    HOUSTON JOURNAL OF MATHEMATICS, 1997, 23 (02): : 247 - 265
  • [36] Spectral sets and weak tiling
    Kolountzakis, Mihail N.
    Lev, Nir
    Matolcsi, Mate
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2023, 21 (02):
  • [37] Spectral partially ordered sets
    Juett, Jason Robert
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (05) : 2232 - 2242
  • [38] Spectral gaps for sets and measures
    Poltoratski, Alexei
    ACTA MATHEMATICA, 2012, 208 (01) : 151 - 209
  • [39] Unitary groups and spectral sets
    Dutkay, Dorin Ervin
    Jorgensen, Palle E. T.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (08) : 2102 - 2141
  • [40] ON CERTAIN DISTINGUISHED SPECTRAL SETS
    DOBBS, DE
    FONTANA, M
    PAPICK, IJ
    ANNALI DI MATEMATICA PURA ED APPLICATA, 1981, 128 : 227 - 240
12345