On quasinilpotent operators, II

Ciprian Foiaş; Il Bong Jung; Eungil Ko; Carl Pearcy

doi:10.1017/s1446788700014488

On quasinilpotent operators, II

Ciprian Foiaş, Il Bong Jung, Eungil Ko, Carl Pearcy

Department of Mathematics

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

10 Scopus citations

Abstract

In this paper we continue to modify and expand a technique due to Enflo for producing nontrivial hyperinvariant subspaces for quasinilpotent operators, and thereby obtain such subspaces for some additional quasinilpotent operators on Hilbert space. We also obtain a structure theorem for a certain class of operators.

Original language	English
Pages (from-to)	349-356
Number of pages	8
Journal	Journal of the Australian Mathematical Society
Volume	77
Issue number	3
DOIs	https://doi.org/10.1017/s1446788700014488
State	Published - Dec 2004

Bibliographical note

Funding Information:
This research was supported by a grant from the Korea Research Foundation (KRF 2002-070-C00006).

Keywords

Hyperinvariant subspaces
Quasinilpotent operators

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10.1017/s1446788700014488

Cite this

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title = "On quasinilpotent operators, II",

abstract = "In this paper we continue to modify and expand a technique due to Enflo for producing nontrivial hyperinvariant subspaces for quasinilpotent operators, and thereby obtain such subspaces for some additional quasinilpotent operators on Hilbert space. We also obtain a structure theorem for a certain class of operators.",

keywords = "Hyperinvariant subspaces, Quasinilpotent operators",

author = "Ciprian Foia{\c s} and Jung, \{Il Bong\} and Eungil Ko and Carl Pearcy",

note = "Funding Information: This research was supported by a grant from the Korea Research Foundation (KRF 2002-070-C00006).",

year = "2004",

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AU - Foiaş, Ciprian

AU - Jung, Il Bong

AU - Ko, Eungil

AU - Pearcy, Carl

N1 - Funding Information: This research was supported by a grant from the Korea Research Foundation (KRF 2002-070-C00006).

PY - 2004/12

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N2 - In this paper we continue to modify and expand a technique due to Enflo for producing nontrivial hyperinvariant subspaces for quasinilpotent operators, and thereby obtain such subspaces for some additional quasinilpotent operators on Hilbert space. We also obtain a structure theorem for a certain class of operators.

AB - In this paper we continue to modify and expand a technique due to Enflo for producing nontrivial hyperinvariant subspaces for quasinilpotent operators, and thereby obtain such subspaces for some additional quasinilpotent operators on Hilbert space. We also obtain a structure theorem for a certain class of operators.

KW - Hyperinvariant subspaces

KW - Quasinilpotent operators

UR - https://www.scopus.com/pages/publications/11044237703

U2 - 10.1017/s1446788700014488

DO - 10.1017/s1446788700014488

M3 - Article

AN - SCOPUS:11044237703

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VL - 77

SP - 349

EP - 356

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 3

ER -

On quasinilpotent operators, II

Abstract

Bibliographical note

Keywords

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