On the BSE and BED properties of the Beurling algebra $L^1(G,ω)$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915762412716032 |
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| author | Dabhi, Jekwin J. Dabhi, Prakash A. |
| author_facet | Dabhi, Jekwin J. Dabhi, Prakash A. |
| contents | Let $G$ be a locally compact abelian group, and let $ω:G \to [1,\infty)$ be a weight, i.e., $ω$ is measurable, $ω$ is locally bounded and $ω(s+t)\leq ω(s)ω(t)$ for all $s, t \in G$. If $ω^{-1}$ is vanishing at infinity, then we show that the Beurling algebra $L^1(G,ω)$ is both BSE- algebra and BED- algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22646 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the BSE and BED properties of the Beurling algebra $L^1(G,ω)$ Dabhi, Jekwin J. Dabhi, Prakash A. Functional Analysis Let $G$ be a locally compact abelian group, and let $ω:G \to [1,\infty)$ be a weight, i.e., $ω$ is measurable, $ω$ is locally bounded and $ω(s+t)\leq ω(s)ω(t)$ for all $s, t \in G$. If $ω^{-1}$ is vanishing at infinity, then we show that the Beurling algebra $L^1(G,ω)$ is both BSE- algebra and BED- algebra. |
| title | On the BSE and BED properties of the Beurling algebra $L^1(G,ω)$ |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2601.22646 |