On Stability of Polynomially Bounded Operators

We prove that if T is a polynomially bounded operator and the peripheral spectrum of T has zero measure, then Tⁿx → 0 for all x in X if and only if T* has no nontrivial invariant subspace on which it is invertible and doubly power bounded.

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Veröffentlicht in:Журнал математической физики, анализа, геометрии
Datum:2007
Hauptverfasser: Muraz, G., Quoc Phong Vu
Format: Artikel
Sprache:Englisch
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2007
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/106447
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On Stability of Polynomially Bounded Operators азвание / G. Muraz, Quoc Phong Vu // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 234-240. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Muraz, G.
Quoc Phong Vu
author_facet Muraz, G.
Quoc Phong Vu
citation_txt On Stability of Polynomially Bounded Operators азвание / G. Muraz, Quoc Phong Vu // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 234-240. — Бібліогр.: 13 назв. — англ.
collection DSpace DC
container_title Журнал математической физики, анализа, геометрии
description We prove that if T is a polynomially bounded operator and the peripheral spectrum of T has zero measure, then Tⁿx → 0 for all x in X if and only if T* has no nontrivial invariant subspace on which it is invertible and doubly power bounded.
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T20:57:14Z
publishDate 2007
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Muraz, G.
Quoc Phong Vu
2016-09-28T19:04:48Z
2016-09-28T19:04:48Z
2007
On Stability of Polynomially Bounded Operators азвание / G. Muraz, Quoc Phong Vu // Журнал математической физики, анализа, геометрии. — 2007. — Т. 3, № 2. — С. 234-240. — Бібліогр.: 13 назв. — англ.
1812-9471
https://nasplib.isofts.kiev.ua/handle/123456789/106447
We prove that if T is a polynomially bounded operator and the peripheral spectrum of T has zero measure, then Tⁿx → 0 for all x in X if and only if T* has no nontrivial invariant subspace on which it is invertible and doubly power bounded.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Журнал математической физики, анализа, геометрии
On Stability of Polynomially Bounded Operators
Article
published earlier
spellingShingle On Stability of Polynomially Bounded Operators
Muraz, G.
Quoc Phong Vu
title On Stability of Polynomially Bounded Operators
title_full On Stability of Polynomially Bounded Operators
title_fullStr On Stability of Polynomially Bounded Operators
title_full_unstemmed On Stability of Polynomially Bounded Operators
title_short On Stability of Polynomially Bounded Operators
title_sort on stability of polynomially bounded operators
url https://nasplib.isofts.kiev.ua/handle/123456789/106447
work_keys_str_mv AT murazg onstabilityofpolynomiallyboundedoperators
AT quocphongvu onstabilityofpolynomiallyboundedoperators