Operators affiliated to Banach lattice properties and their enveloping norms Научная публикация
| Журнал |
Turkish Journal of Mathematics
ISSN: 1300-0098 |
||||
|---|---|---|---|---|---|
| Вых. Данные | Год: 2023, Том: 6, Номер: 47, Номер статьи : 5, Страниц : 15 DOI: 10.55730/1300-0098.3455 | ||||
| Ключевые слова | Banach lattice, affiliated operators, enveloping norm, domination problem | ||||
| Авторы |
|
||||
| Организации |
|
Информация о финансировании (1)
| 1 | Институт математики им. С.Л. Соболева СО РАН | FWNF-2022-0004 |
Реферат:
Several recent papers were devoted to various modifications of limited, Grothendieck, and Dunford-Pettis operators, etc., through involving the Banach lattice structure. In the present paper, it is shown that many of these operators appear as operators affiliated to well-known properties of Banach lattices, like the disjoint (dual) Schur property, the disjoint Grothendieck property, the property (d), the sequential w*-continuity of the lattice operations, etc. We also introduce new classes of operators such as the s-GPP-operators, s-BDP-operators, and bi-sP-operators. It is proved that the spaces consisting of regular versions of the above-mentioned operators are all the Banach spaces. The domination problem for these operators is investigated.
Библиографическая ссылка:
Emelyanov E.
, Gorokhova S.
Operators affiliated to Banach lattice properties and their enveloping norms
Turkish Journal of Mathematics. 2023. V.6. N47. 5 :1-15. DOI: 10.55730/1300-0098.3455 WOS Scopus РИНЦ OpenAlex
Operators affiliated to Banach lattice properties and their enveloping norms
Turkish Journal of Mathematics. 2023. V.6. N47. 5 :1-15. DOI: 10.55730/1300-0098.3455 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 1 июн. 2023 г. |
| Принята к публикации: | 5 июл. 2023 г. |
| Опубликована online: | 5 июл. 2023 г. |
| Опубликована в печати: | 25 сент. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:001147340500008 |
| Scopus: | 2-s2.0-85172434785 |
| РИНЦ: | 64556824 |
| OpenAlex: | W4387164391 |