Rearranging absolutely covergent well-ordered series in Banach spaces

Autor:	Vedran Čačić, Marko Horvat, Marko Doko
Rok vydání:	2019
Předmět:	Mathematics::Logic Pure mathematics Series (mathematics) Banach space Well-ordered series summability absolute convergence reordering Banach spaces ordinals Mathematics
Zdroj:	Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti. :1-11
ISSN:	1330-0814
Popis:	We identify a general reordering principle for well-ordered series in Banach spaces. We prove that for every absolutely convergent well-ordered series indexed by a countable ordinal, if the seriesis rearranged according to any countable ordinal, then the absolute convergence and the sum of the series remain unchanged.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19e10d848f29b00c148f29383b54c71f https://doi.org/10.21857/yq32oh4qd9 Zobrazit plný text záznamu