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: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2007
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| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862748773908742144 |
|---|---|
| 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.
|
| first_indexed | 2025-12-07T20:57:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106447 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| 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 |