Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Let (X, μ) be a space with a finite measure μ, let A and B be w*-closed subalgebras of L∞(μ), and let C and D be closed subspaces of Lp(μ) (1 <p < ∞) that are modules over A and B, respectively. Under certain additional assumptions, the couple (C ⋂ D,C ⋂ D ⋂ L∞(μ)) is K-closed in (Lp(μ), L∞(μ)). This statement covers, in particular, two cases analyzed previously: that of Hardy spaces on the two-dimensional torus and that of the coinvariant subspaces of the shift operator on the circle. Furthermore, many situations when A and B are w*-Dirichlet algebras also fit in this pattern.
Язык оригинала | английский |
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Страницы (с-по) | 21-38 |
Число страниц | 18 |
Журнал | Israel Journal of Mathematics |
Том | 239 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 авг 2020 |
Событие | Explorations in Harmonic Analysis and other realms - Weizmann Institute of Science, Реховот, Израиль Продолжительность: 10 фев 2019 → 14 фев 2019 https://u.math.biu.ac.il/~levnir/conferences/olevskii80/ |
ID: 75763443