skip to main content
LOTERRE

LOTERRE

Mathematics (thesaurus)

Choisissez le vocabulaire dans lequel chercher

Langue des données

| español English
Aide à la recherche

Concept information

topology > algebraic topology > K-theory > Calkin algebra
mathematical physics > string theory > K-theory > Calkin algebra
mathematical analysis > functional analysis > Banach algebra > C*-algebra > Calkin algebra
... > algebra > abstract algebra > algebraic structure > associative algebra > Banach algebra > C*-algebra > Calkin algebra
set theory > Calkin algebra

Terme préférentiel

Calkin algebra  

Définition(s)

  • In functional analysis, the Calkin algebra, named after John Williams Calkin, is the quotient of B(H), the ring of bounded linear operators on a separable infinite-dimensional Hilbert space H, by the ideal K(H) of compact operators. Here the addition in B(H) is addition of operators and the multiplication in B(H) is composition of operators; it is easy to verify that these operations make B(H) into a ring. When scalar multiplication is also included, B(H) becomes in fact an algebra over the same field over which H is a Hilbert space.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Calkin_algebra)

Concept(s) générique(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-GWMCBL64-C

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Date de création 07/08/2023, dernière modif. 21/08/2023