Operators that admit a moment sequence

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

doi:10.1007/BF02786685

Operators that admit a moment sequence

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

Department of Mathematics

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

3 Scopus citations

Abstract

We consider the question of which operators on Hilbert space admit a moment sequence, and show, in particular, that if T is any operator in ℒ(ℋ) that can be written as T = N + K, where N is normal and K is compact, and ℳ ⊂ ℋ is any invariant subspace for T, then the restriction T|ℳ admits such a sequence.

Original language	English
Pages (from-to)	83-91
Number of pages	9
Journal	Israel Journal of Mathematics
Volume	145
DOIs	https://doi.org/10.1007/BF02786685
State	Published - 2005

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title = "Operators that admit a moment sequence",

abstract = "We consider the question of which operators on Hilbert space admit a moment sequence, and show, in particular, that if T is any operator in ℒ(ℋ) that can be written as T = N + K, where N is normal and K is compact, and ℳ ⊂ ℋ is any invariant subspace for T, then the restriction T|ℳ admits such a sequence.",

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

year = "2005",

doi = "10.1007/BF02786685",

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journal = "Israel Journal of Mathematics",

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T1 - Operators that admit a moment sequence

AU - Foias, Ciprian

AU - Jung, Il Bong

AU - Ko, Eungil

AU - Pearcy, Carl

PY - 2005

Y1 - 2005

N2 - We consider the question of which operators on Hilbert space admit a moment sequence, and show, in particular, that if T is any operator in ℒ(ℋ) that can be written as T = N + K, where N is normal and K is compact, and ℳ ⊂ ℋ is any invariant subspace for T, then the restriction T|ℳ admits such a sequence.

AB - We consider the question of which operators on Hilbert space admit a moment sequence, and show, in particular, that if T is any operator in ℒ(ℋ) that can be written as T = N + K, where N is normal and K is compact, and ℳ ⊂ ℋ is any invariant subspace for T, then the restriction T|ℳ admits such a sequence.

UR - https://www.scopus.com/pages/publications/18444408061

U2 - 10.1007/BF02786685

DO - 10.1007/BF02786685

M3 - Article

AN - SCOPUS:18444408061

SN - 0021-2172

VL - 145

SP - 83

EP - 91

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Operators that admit a moment sequence

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