On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space
We establish conditions for the behavior of the resolvent and the location of the spectrum of a linear closed operator A densely defined in a Banach space E under which its Gevrey spaces G (β)(A), β < 1, are dense in E.
Saved in:
| Date: | 2000 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2000
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4499 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510626917384192 |
|---|---|
| author | Mokrousov, Yu. G. Мокроусов, Ю. Г. |
| author_facet | Mokrousov, Yu. G. Мокроусов, Ю. Г. |
| author_sort | Mokrousov, Yu. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:30:08Z |
| description | We establish conditions for the behavior of the resolvent and the location of the spectrum of a linear closed operator A densely defined in a Banach space E under which its Gevrey spaces G (β)(A), β < 1, are dense in E. |
| first_indexed | 2026-03-24T03:00:00Z |
| format | Article |
| fulltext |
0121
0122
0123
|
| id | umjimathkievua-article-4499 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:00:00Z |
| publishDate | 2000 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/84/8416b124b835b291a72afc5bccfa6684.pdf |
| spelling | umjimathkievua-article-44992020-03-18T20:30:08Z On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space Про щільність підпросторів аналітичних векторів замкненого лінійного оператора в банаховому просторі Mokrousov, Yu. G. Мокроусов, Ю. Г. We establish conditions for the behavior of the resolvent and the location of the spectrum of a linear closed operator A densely defined in a Banach space E under which its Gevrey spaces G (β)(A), β < 1, are dense in E. Отримано умови на поведінку резольвенти та розташування спектра лінійного замкненого щільно визначеного оператора $A$ у баиаховому просторі $Е$, за яких його простори Жевре $G_{(β)}(A),\; β < 1$, щільні в $Е$. Institute of Mathematics, NAS of Ukraine 2000-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4499 Ukrains’kyi Matematychnyi Zhurnal; Vol. 52 No. 7 (2000); 985-989 Український математичний журнал; Том 52 № 7 (2000); 985-989 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4499/5702 https://umj.imath.kiev.ua/index.php/umj/article/view/4499/5703 Copyright (c) 2000 Mokrousov Yu. G. |
| spellingShingle | Mokrousov, Yu. G. Мокроусов, Ю. Г. On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title | On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title_alt | Про щільність підпросторів аналітичних векторів замкненого лінійного оператора в банаховому просторі |
| title_full | On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title_fullStr | On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title_full_unstemmed | On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title_short | On the Denseness of Subspaces of Analytic Vectors of a Closed Linear Operator in a Banach Space |
| title_sort | on the denseness of subspaces of analytic vectors of a closed linear operator in a banach space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4499 |
| work_keys_str_mv | AT mokrousovyug onthedensenessofsubspacesofanalyticvectorsofaclosedlinearoperatorinabanachspace AT mokrousovûg onthedensenessofsubspacesofanalyticvectorsofaclosedlinearoperatorinabanachspace AT mokrousovyug proŝílʹnístʹpídprostorívanalítičnihvektorívzamknenogolíníjnogooperatoravbanahovomuprostorí AT mokrousovûg proŝílʹnístʹpídprostorívanalítičnihvektorívzamknenogolíníjnogooperatoravbanahovomuprostorí |