On quasinilpotent operators. III

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

On quasinilpotent operators. III

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

Department of Mathematics

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

13 Scopus citations

Abstract

This paper is a continuation of our study [9], [3] of quasinilpotent operators in which we obtain some new hyperinvariant-subspace theorems for such operators. We also prove a structure theorem about certain quasinilpotent operators and reduce the hyperinvariant subspace problem for quasinilpotent operators to a special subcase.

Original language	English
Pages (from-to)	401-414
Number of pages	14
Journal	Journal of Operator Theory
Volume	54
Issue number	2
State	Published - Sep 2005

Keywords

Hyperinvariant subspaces
Invariant subspaces
Quasinilpotent operators

Cite this

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title = "On quasinilpotent operators. III",

abstract = "This paper is a continuation of our study [9], [3] of quasinilpotent operators in which we obtain some new hyperinvariant-subspace theorems for such operators. We also prove a structure theorem about certain quasinilpotent operators and reduce the hyperinvariant subspace problem for quasinilpotent operators to a special subcase.",

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

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T1 - On quasinilpotent operators. III

AU - Foiaş, Ciprian

AU - Jung, Il Bong

AU - Ko, Eungil

AU - Pearcy, Carl

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Y1 - 2005/9

N2 - This paper is a continuation of our study [9], [3] of quasinilpotent operators in which we obtain some new hyperinvariant-subspace theorems for such operators. We also prove a structure theorem about certain quasinilpotent operators and reduce the hyperinvariant subspace problem for quasinilpotent operators to a special subcase.

AB - This paper is a continuation of our study [9], [3] of quasinilpotent operators in which we obtain some new hyperinvariant-subspace theorems for such operators. We also prove a structure theorem about certain quasinilpotent operators and reduce the hyperinvariant subspace problem for quasinilpotent operators to a special subcase.

KW - Hyperinvariant subspaces

KW - Invariant subspaces

KW - Quasinilpotent operators

UR - https://www.scopus.com/pages/publications/33644922942

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VL - 54

SP - 401

EP - 414

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

On quasinilpotent operators. III

Abstract

Keywords

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Cite this