Archiv der Mathematik

, Volume 110, Issue 5, pp 477–486 | Cite as

The lattices of invariant subspaces of a class of operators on the Hardy space

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Abstract

In the authors’ first paper, a Beurling-Rudin-Korenbljum type characterization of the closed ideals in a certain algebra of holomorphic functions was used to describe the lattice of invariant subspaces of the shift plus a complex Volterra operator. The current work is an extension of the previous work and it describes the lattice of invariant subspaces of the shift plus a positive integer multiple of the complex Volterra operator on the Hardy space. Our work was motivated by a paper by Ong who studied the real version of the same operator.

Keywords

Complex analysis Invariant subspaces Hardy space 

Mathematics Subject Classification

47A15 

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsThe University of ToledoToledoUSA
  2. 2.Mathematics and Computer Science DepartmentCentral State UniversityWilberforceUSA

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