The Hille-Yosida theorem for resolvent operators of multiparameter semigroups
We consider multiparameter semigroups of two types (multiplicative and coordinatewise) and resolvent operators associated with such semigroups. We prove an alternative version of the Hille-Yosida theorem in terms of resolvent operators. For simplicity of presentation, we give statements and proofs f...
Gespeichert in:
| Datum: | 1996 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5363 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511595503812608 |
|---|---|
| author | Lavrent'ev, A. S. Mishura, Yu. S. Лаврентьев, А. С. Мишура, Ю. С. Лаврентьев, А. С. Мишура, Ю. С. |
| author_facet | Lavrent'ev, A. S. Mishura, Yu. S. Лаврентьев, А. С. Мишура, Ю. С. Лаврентьев, А. С. Мишура, Ю. С. |
| author_sort | Lavrent'ev, A. S. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:31:25Z |
| description | We consider multiparameter semigroups of two types (multiplicative and coordinatewise) and resolvent operators associated with such semigroups. We prove an alternative version of the Hille-Yosida theorem in terms of resolvent operators. For simplicity of presentation, we give statements and proofs for two-parameter semigroups. |
| first_indexed | 2026-03-24T03:15:23Z |
| format | Article |
| fulltext |
0009
0010
0011
0012
0013
0014
0015
0016
0017
|
| id | umjimathkievua-article-5363 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:15:23Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/97/b7d680c0bbc42fdc6f9596c79e495697.pdf |
| spelling | umjimathkievua-article-53632020-03-18T21:31:25Z The Hille-Yosida theorem for resolvent operators of multiparameter semigroups Теорема Хилле - Иосида для резольвентных операторов многопараметрических полугрупп Lavrent'ev, A. S. Mishura, Yu. S. Лаврентьев, А. С. Мишура, Ю. С. Лаврентьев, А. С. Мишура, Ю. С. We consider multiparameter semigroups of two types (multiplicative and coordinatewise) and resolvent operators associated with such semigroups. We prove an alternative version of the Hille-Yosida theorem in terms of resolvent operators. For simplicity of presentation, we give statements and proofs for two-parameter semigroups. Розглядаються багатопараметричні півгрупи двох типів (мультиплікативні та покоординатна.) та резольвентні оператори, пов'язані з такими півгрупами. Доведено альтернативну форму, теореми Хілле - Іосіда в термінах резольвентних операторів. З метою спрощення технічних деталей формулювання та доведення наведено для випадку двох параметрів. Institute of Mathematics, NAS of Ukraine 1996-01-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5363 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 1 (1996); 57-65 Український математичний журнал; Том 48 № 1 (1996); 57-65 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5363/7417 https://umj.imath.kiev.ua/index.php/umj/article/view/5363/7418 Copyright (c) 1996 Lavrent'ev A. S.; Mishura Yu. S. |
| spellingShingle | Lavrent'ev, A. S. Mishura, Yu. S. Лаврентьев, А. С. Мишура, Ю. С. Лаврентьев, А. С. Мишура, Ю. С. The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title | The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title_alt | Теорема Хилле - Иосида для резольвентных операторов многопараметрических полугрупп |
| title_full | The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title_fullStr | The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title_full_unstemmed | The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title_short | The Hille-Yosida theorem for resolvent operators of multiparameter semigroups |
| title_sort | hille-yosida theorem for resolvent operators of multiparameter semigroups |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5363 |
| work_keys_str_mv | AT lavrent039evas thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mishurayus thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT lavrentʹevas thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mišuraûs thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT lavrentʹevas thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mišuraûs thehilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT lavrent039evas teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT mishurayus teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT lavrentʹevas teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT mišuraûs teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT lavrentʹevas teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT mišuraûs teoremahilleiosidadlârezolʹventnyhoperatorovmnogoparametričeskihpolugrupp AT lavrent039evas hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mishurayus hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT lavrentʹevas hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mišuraûs hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT lavrentʹevas hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups AT mišuraûs hilleyosidatheoremforresolventoperatorsofmultiparametersemigroups |