Invariant measures from locally bounded orbits
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866910496539541504 |
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| author | López-Martínez, Antoni |
| author_facet | López-Martínez, Antoni |
| contents | Motivated by recent investigations of Sophie Grivaux and Étienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the concept of locally bounded orbit for a continuous linear operator $T:X\longrightarrow X$ acting on a Fréchet space $X$, and we use this new notion to construct (non-trivial) $T$-invariant probability Borel measures on $(X,\mathscr{B}(X))$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13367 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant measures from locally bounded orbits López-Martínez, Antoni Functional Analysis Dynamical Systems 47A16, 47A35, 37A05, 37B20 Motivated by recent investigations of Sophie Grivaux and Étienne Matheron on the existence of invariant measures in Linear Dynamics, we introduce the concept of locally bounded orbit for a continuous linear operator $T:X\longrightarrow X$ acting on a Fréchet space $X$, and we use this new notion to construct (non-trivial) $T$-invariant probability Borel measures on $(X,\mathscr{B}(X))$. |
| title | Invariant measures from locally bounded orbits |
| topic | Functional Analysis Dynamical Systems 47A16, 47A35, 37A05, 37B20 |
| url | https://arxiv.org/abs/2401.13367 |