On the Helton class of p-hyponormal operators

Yoenha Kim; Eungil Ko; Ji Eun Lee

doi:10.1090/S0002-9939-07-08708-4

On the Helton class of p-hyponormal operators

Yoenha Kim, Eungil Ko, Ji Eun Lee

Department of Mathematics

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

9 Scopus citations

Abstract

In this paper we show that the Helton class of p-hyponormal operators has scalar extensions. As a corollary we get that each operator in the Helton class of p-hyponormal operators has a nontrivial invariant subspace if its spectrum has its interior in the plane.

Original language	English
Pages (from-to)	2113-2120
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9939-07-08708-4
State	Published - Jul 2007

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abstract = "In this paper we show that the Helton class of p-hyponormal operators has scalar extensions. As a corollary we get that each operator in the Helton class of p-hyponormal operators has a nontrivial invariant subspace if its spectrum has its interior in the plane.",

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AB - In this paper we show that the Helton class of p-hyponormal operators has scalar extensions. As a corollary we get that each operator in the Helton class of p-hyponormal operators has a nontrivial invariant subspace if its spectrum has its interior in the plane.

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On the Helton class of p-hyponormal operators

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