skip to main content
LOTERRE

LOTERRE

Search from vocabulary

Lengua del contenido

| français English
Ayuda para la búsqueda

Concept information

algebra > group theory > topological group > amenable group

Término preferido

amenable group  

Definición

  • In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms of a finitely additive measure (or mean) on subsets of G, was introduced by John von Neumann in 1929 under the German name "messbar" ("measurable" in English) in response to the Banach–Tarski paradox. In 1949 Mahlon M. Day introduced the English translation "amenable", apparently as a pun on "mean".
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Amenable_group)

Concepto genérico

En otras lenguas

URI

http://data.loterre.fr/ark:/67375/PSR-WLD5V2P7-G

Descargue este concepto:

RDF/XML TURTLE JSON-LD Creado 30/8/23, última modificación 30/8/23