On Analytic Roots of Hyponormal Operators

Sungeun Jung; Eungil Ko

doi:10.1007/s00009-017-0998-3

On Analytic Roots of Hyponormal Operators

Sungeun Jung, Eungil Ko

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we provide a condition under which analytic roots of hyponormal operators (defined below) have scalar extensions. As an application, we show that such analytic roots of hyponormal operators have nontrivial hyperinvariant subspaces. We also give some structures for analytic roots of hyponormal operators. Finally, we verify that the product of some analytic root of a hyponormal operator and an algebraic operator which are commuting is subscalar.

Original language	English
Article number	199
Journal	Mediterranean Journal of Mathematics
Volume	14
Issue number	5
DOIs	https://doi.org/10.1007/s00009-017-0998-3
State	Published - 1 Oct 2017

Bibliographical note

Funding Information:
The research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) Funded by the Ministry of Education, Science and Technology (2012R1A2A2A02008590). The S. Jung was supported by Hankuk University of Foreign Studies Research Fund and was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A2056642).

Publisher Copyright:
© 2017, Springer International Publishing AG.

Keywords

Analytic roots of hyponormal operators
invariant subspaces
subscalar operators

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10.1007/s00009-017-0998-3

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KW - Analytic roots of hyponormal operators

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ER -

On Analytic Roots of Hyponormal Operators

Abstract

Bibliographical note

Keywords

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