Multiplication Operator Semigroups on Banach lattice valued continuous function spaces
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915532747309056 |
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| author | Olabiyi, Tobi David |
| author_facet | Olabiyi, Tobi David |
| contents | We introduce and characterize, on the Banach lattice valued continuous function space, multiplication operators generating strongly continuous multiplication operator semigroups. Our characterization is the generalization of known results for the scalar-valued continuous functions $C_0(Ω)$ vanishing at infinity, on a locally compact (Hausdorff) space $Ω$, to Banach lattice $C_0(Ω, E)$ of continuous Banach lattice $E$-valued functions vanishing at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03607 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiplication Operator Semigroups on Banach lattice valued continuous function spaces Olabiyi, Tobi David Functional Analysis Operator Algebras Spectral Theory 47D06, 46E05, 46B42, 47B60, 46H25 We introduce and characterize, on the Banach lattice valued continuous function space, multiplication operators generating strongly continuous multiplication operator semigroups. Our characterization is the generalization of known results for the scalar-valued continuous functions $C_0(Ω)$ vanishing at infinity, on a locally compact (Hausdorff) space $Ω$, to Banach lattice $C_0(Ω, E)$ of continuous Banach lattice $E$-valued functions vanishing at infinity. |
| title | Multiplication Operator Semigroups on Banach lattice valued continuous function spaces |
| topic | Functional Analysis Operator Algebras Spectral Theory 47D06, 46E05, 46B42, 47B60, 46H25 |
| url | https://arxiv.org/abs/2510.03607 |