Completely continuous elements of Banach algebras related to locally compact groups

Autor:	Rasoul Nasr-Isfahani, M. J. Mehdipour
Rok vydání:	2007
Předmět:	Algebra Pure mathematics Measurable function Approximation property General Mathematics Bounded function Banach algebra Banach space Locally compact space Type (model theory) Locally compact group Mathematics
Zdroj:	Bulletin of the Australian Mathematical Society. 76:49-54
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972700039460
Popis:	Let G be a locally compact group and be the Banach space of all essentially bounded measurable functions on G vansihing an infinity. Here, we study some families of right completely continuous elements in the Banach algebra equipped with an Arens type product. As the main result, we show that has a certain right completely continuous element if and only if G is compact.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5b29c1ef6f1fb1477f8a337311e315cd https://doi.org/10.1017/s0004972700039460 Zobrazit plný text záznamu