Invariant measures from locally bounded orbits.
| Autor: | López-Martínez, Antoni |
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| Zdroj: | Results in Mathematics / Resultate der Mathematik; Aug2024, Vol. 79 Issue 5, p1-30, 30p |
| Abstrakt: | 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 ⟶ X acting on a Fréchet space X, and we use this new notion to construct (non-trivial) T-invariant probability Borel measures on (X , B (X)) . [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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