Invariant subspaces for translation, dilation and multiplication semigroups

被引：0

作者：

Eva A. Gallardo-Gutiérrez

Jonathan R. Partington

机构：

[1] Universidad de Zaragoza e Iuma,Departamento De Matemáticas

[2] University of Leeds,School of Mathematics

来源：

Journal d'Analyse Mathématique | 2009年 / 107卷

关键词：

Hardy Space; Invariant Subspace; Composition Operator; Universal Operator; Multiplication Semigroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study invariant subspaces in the context of the work of Katavolos and Power [9] and [10] when one of the semigroups considered is replaced by a discrete one. As a consequence, a rather striking connection is given with the study of the lattice of invariant subspaces of composition operators induced by automorphisms of the unit disc acting on the classical Hardy space. As a particular instance, our study concerns the lattice of invariant subspaces of those composition operators induced by hyperbolic automorphisms, and therefore with the Invariant Subspace Problem.

引用

页码：65 / 78

页数：13

共 17 条

[11]

Littlewood J. E.(undefined)(ℝ) undefined undefined undefined-undefined

[12]

Nordgren E. A.(undefined)Translation invariant spaces undefined undefined undefined-undefined

[13]

Rosenthal P.(undefined)On inequalities in the theory of functions undefined undefined undefined-undefined

[14]

Wintrobe F. S.(undefined)Composition operators and the invariant subspace problem undefined undefined undefined-undefined

[15]

Nordgren E.(undefined)Invertible composition operators on H undefined undefined undefined-undefined

[16]

Rosenthal P.(undefined)undefined undefined undefined undefined-undefined

[17]

Wintrobe F. S.(undefined)undefined undefined undefined undefined-undefined

← 1 2 →