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

mathematical analysis > functional analysis > spectral theory > projection-valued measure
algebra > linear algebra > spectral theory > projection-valued measure

Terme préférentiel

projection-valued measure  

Définition(s)

  • In mathematics, particularly in functional analysis, a projection-valued measure (PVM) is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections on a fixed Hilbert space. Projection-valued measures are formally similar to real-valued measures, except that their values are self-adjoint projections rather than real numbers. As in the case of ordinary measures, it is possible to integrate complex-valued functions with respect to a PVM; the result of such an integration is a linear operator on the given Hilbert space.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Projection-valued_measure)

Concept(s) générique(s)

Concept(s) associé(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-QWLRS7WW-9

Télécharger ce concept:

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