A Koopman-von Neumann type theorem on the convergence of Cesàro means in Riesz spaces

Autor:	Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
Rok vydání:	2021
Předmět:	symbols.namesake Pure mathematics Algebra and Number Theory Convergence (routing) symbols Discrete Mathematics and Combinatorics Cesàro mean Geometry and Topology Type (model theory) Analysis Mathematics Von Neumann architecture
Zdroj:	Proceedings of the American Mathematical Society, Series B. 8:75-85
ISSN:	2330-1511
DOI:	10.1090/bproc/75
Popis:	We extend the Koopman-von Neumann convergence condition on the Cesàro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisation of conditional weak mixing is given in the Riesz space setting. The results are applied to convergence in L 1 L^1 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4c5248b7ed0a26d3f517b4378ea4c578 https://doi.org/10.1090/bproc/75 Zobrazit plný text záznamu Plný text ve formátu PDF