تقرير
Maximal regular ideals in the dual of certain closed subspaces of $PM_\Psi(G)$
| العنوان: | Maximal regular ideals in the dual of certain closed subspaces of $PM_\Psi(G)$ |
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| المؤلفون: | Dabra, Arvish, Lal, Rattan, Kumar, N. Shravan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Primary 43A15, 46J10, 46J20, Secondary 43A99 |
| الوصف: | Let $G$ be a locally compact group and $(\Phi,\Psi)$ a complementary pair of Young functions satisfying the $\Delta_2$-condition. Let $A_\Phi(G)$ be the Orlicz analogue of the Fig\`{a}-Talamanca Herz algebra $A_p(G).$ The dual of $A_\Phi(G)$ is $PM_\Psi(G),$ the space of $\Psi$-pseudomeasures. For certain closed subspaces $\mathcal{A}$ of $PM_\Psi(G)$ and Banach algebras $W_\Phi(G)$ or $B_\Phi(G),$ denoted by $\mathcal{B},$ we characterise the maximal regular left/right/two-sided ideals of the Banach algebras $\mathcal{A}^{'}$ and $\mathcal{B}^{''}$ considered with the Arens product. We further characterise the minimal left ideals of $\mathcal{A}^{'}$ and prove the necessary and sufficient conditions for the existence of minimal ideals in the Banach algebras $A_\Phi(G)$ and $\mathcal{B}.$ Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.04528 |
| رقم الأكسشن: | edsarx.2404.04528 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |