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

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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pages = "119--133",

journal = "Indiana University Mathematics Journal",

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AU - Foias, C.

AU - Jung, I. B.

AU - Ko, E.

AU - Pearcy, C.

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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).

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KW - Invariant subspace

KW - Transitive operator

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M3 - Article

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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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