[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2007.22.3.383

THE HYPERINVARIANT SUBSPACE PROBLEM FOR QUASI-n-HYPONORMAL OPERATORS

Kim, An-Hyun (DEPARTMENT OF MATHEMATICS CHANGWON NATIONAL UNIVERSITY)
Kwon, Eun-Young (INSTITUTE OF ENGINEERING EDUCATION CHANGWON NATIONAL UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.22, no.3, 2007 , pp. 383-389 More about this Journal

Abstract

In this paper we examine the hyperinvariant subspace problem for quasi-n-hyponormal operators. The main result on this problem is as follows. If T = N + K is such that N is a quasi-n-hyponormal operator whose spectrum contains an exposed arc and K belongs to the Schatten p-ideal then T has a non-trivial hyperinvariant subspace.

Keywords

n-normal operators; quasi-n-hyponormal operators; hyperinvariant subspace problem;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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