Invariant Subspaces of Collectively Compact Sets of Linear Operators

被引：0

作者：

Şafak Alpay

Tunç Mısırlıoğlu

机构：

[1] Middle East Technical University,Department of Mathematics

[2] Istanbul Technical University,Department of Mathematics

来源：

Positivity | 2008年 / 12卷

关键词：

47A15; Invariant subspace; collectively compact set; joint spectral radius;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we first give some invariant subspace results for collectively compact sets of operators in connection with the joint spectral radius of these sets. We then prove that any collectively compact set M in algΓ satisfies Berger-Wang formula, where Γ is a complete chain of subspaces of X.

引用

页码：209 / 219

页数：10

共 7 条

[1]

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[2]

Wang Y.(1960)A note on the joint spectral radius Indag. Math. 22 379-381

[3]

Rota G.C.(2000)Joint spectral radius, operator semigroups and a problem of W.Wojtynski J. Funct. Anal. 177 383-441

[4]

Strang W.G.(1999)Volterra semigroups have invariant subspaces J. Funct. Anal. 162 313-322

[5]

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[6]

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