skip to main content

Mathematics (thesaurus)

Content language

Home / Explore / Browse / Vocabularies / Mathematics (thesaurus)

... > vector space > topological vector space > normed vector space > Banach space > Lp space

mathematical analysis > functional analysis > function space > Lp space

set theory > function space > Lp space

algebra > linear algebra > function space > Lp space

category theory > function space > Lp space

probability theory > measure theory > Lp space

Preferred term

Lp space

Definition(s)

In mathematics, the $L p$ spaces are function spaces defined using a natural generalization of the p-norm for finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according to the Bourbaki group (Bourbaki 1987) they were first introduced by Frigyes Riesz (Riesz 1910).
$L p$ spaces form an important class of Banach spaces in functional analysis, and of topological vector spaces. Because of their key role in the mathematical analysis of measure and probability spaces, Lebesgue spaces are used also in the theoretical discussion of problems in physics, statistics, economics, finance, engineering, and other disciplines.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lp_space)

Broader concept(s)

Narrower concept(s)

In other languages

espace Lp

French

URI

http://data.loterre.fr/ark:/67375/PSR-VR5J0PXW-Z

Download this concept:

RDF/XML TURTLE JSON-LD Created 8/4/23, last modified 9/1/23