Spectral Properties of $ C_{0}$-Semigroups of Positive Operators on C$^*$-Algebras
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911365483986944 |
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| author | Groh, Ulrich |
| author_facet | Groh, Ulrich |
| contents | Let $ (T(t))_{t\geq0} $ be a positive $C_{0}$-semigroup with generator $A$ on a C$^*$-algebra or on the predual of a W$^*$-algebra. Then the growth bound $ω_{0}$ equals $s(A)$. If the spectrum of $A$ is not empty, then $s(A)$, the spectral bound of $A$, is a spectral value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05025 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral Properties of $ C_{0}$-Semigroups of Positive Operators on C$^*$-Algebras Groh, Ulrich Operator Algebras 46L55 Let $ (T(t))_{t\geq0} $ be a positive $C_{0}$-semigroup with generator $A$ on a C$^*$-algebra or on the predual of a W$^*$-algebra. Then the growth bound $ω_{0}$ equals $s(A)$. If the spectrum of $A$ is not empty, then $s(A)$, the spectral bound of $A$, is a spectral value. |
| title | Spectral Properties of $ C_{0}$-Semigroups of Positive Operators on C$^*$-Algebras |
| topic | Operator Algebras 46L55 |
| url | https://arxiv.org/abs/2601.05025 |