DOMINANT TAYLOR SPECTRUM AND INVARIANT SUBSPACES

被引：0

作者：

Ambrozie, C. ^{[1
,2
]}

Mueller, V. ^{[1
]}

机构：

[1] Math Inst Av Cr, Prague 11567 1, Czech Republic

[2] Acad Romana, Inst Math, Bucharest 014700, Romania

来源：

JOURNAL OF OPERATOR THEORY | 2009年 / 61卷 / 01期

关键词：

Taylor spectrum; Scott Brown technique; dominant spectrum; invariant subspaces; COMMUTING CONTRACTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T = (T(1), ... , T(n)) be a von Neumann n-tuple of commuting Hilbert space operators of class Coo with dominating Taylor spectrum. Then T has a nontrivial joint invariant subspace. Stronger results can be obtained if T possesses a dilation.

引用

页码：63 / 73

页数：11

共 14 条

[1]

ALBRECHT E, 1994, LECT NOTES PURE APPL, V150, P293

[2]

[Anonymous], 1979, J OPERATOR THEORY

[3]

[Anonymous], 2004, DISS MATH, DOI DOI 10.4064/DM425-0-1

[4]

APOSTOL C, 1980, J OPERAT THEOR, V4, P159

[5]

Bercovici H., 1985, CBMS Regional Conference Series in Mathematics, V56

[6]

Didas M, 2005, J OPERAT THEOR, V54, P169

[7]

Eschmeier J, 2001, J OPERAT THEOR, V45, P413

[8]

Eschmeier J., 1996, SPECTRAL DECOMPOSITI, V10

[9]

ESCHMEIFR J, 1998, P 13 INT C BAN ALG W, P135

[10]

GUNNING RC, 1965, ANAL FNNCTIONS SEVER

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