Transitive operators and a problem of halmos

C. Foias; I. B. Jung; E. Ko; C. Pearcy

doi:10.1512/iumj.2007.56.2948

Transitive operators and a problem of halmos

C. Foias
, I. B. Jung
, E. Ko
, C. Pearcy

Department of Mathematics

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

2 Scopus citations

Abstract

In this note we show that a (still open) problem raised by Halmos in [1] is related to the general invariant subspace problem for operators on Hilbert space (and may be equivalent to it).

Original language	English
Pages (from-to)	119-133
Number of pages	15
Journal	Indiana University Mathematics Journal
Volume	56
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2007.56.2948
State	Published - 2007

Keywords

Invariant subspace
Transitive operator

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10.1512/iumj.2007.56.2948

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title = "Transitive operators and a problem of halmos",

abstract = "In this note we show that a (still open) problem raised by Halmos in [1] is related to the general invariant subspace problem for operators on Hilbert space (and may be equivalent to it).",

keywords = "Invariant subspace, Transitive operator",

author = "C. Foias and Jung, \{I. B.\} and E. Ko and C. Pearcy",

year = "2007",

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language = "English",

volume = "56",

pages = "119--133",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Department of Mathematics, Indiana University",

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T1 - Transitive operators and a problem of halmos

AU - Foias, C.

AU - Jung, I. B.

AU - Ko, E.

AU - Pearcy, C.

PY - 2007

Y1 - 2007

N2 - In this note we show that a (still open) problem raised by Halmos in [1] is related to the general invariant subspace problem for operators on Hilbert space (and may be equivalent to it).

AB - In this note we show that a (still open) problem raised by Halmos in [1] is related to the general invariant subspace problem for operators on Hilbert space (and may be equivalent to it).

KW - Invariant subspace

KW - Transitive operator

UR - https://www.scopus.com/pages/publications/34247521124

U2 - 10.1512/iumj.2007.56.2948

DO - 10.1512/iumj.2007.56.2948

M3 - Article

AN - SCOPUS:34247521124

SN - 0022-2518

VL - 56

SP - 119

EP - 133

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 1

ER -

Transitive operators and a problem of halmos

Abstract

Keywords

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