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Lp space

In mathematics, the Lp 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).

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Overview

Preliminaries

ℓp spaces and sequence spaces

Lp spaces and Lebesgue integrals

Properties

Applications

Generalizations and extensions

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Map overview Semantic statistics

Lp space

Nodes163
Edges162
Triples6
Avg. degree1.99
Density0.01227
Components1

How this topic connects Entity context

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Lp space

Top relations

related to External links · 6
Lp space → EMS Press, Encyclopedia, Lebesgue, Lp, Mathematics, Proof

Important terminology Word statistics

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Important terminology

displaystyle mu space infty measure leq vector spaces ell defined functions function mathbb norm set measurable real -norm right left

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lp spacerelated to External linksLebesgue0.60section
Lp spacerelated to External linksEncyclopedia0.60section
Lp spacerelated to External linksMathematics0.60section
Lp spacerelated to External linksEMS Press0.60section
Lp spacerelated to External linksProof0.60section
Lp spacerelated to External linksLp0.60section

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    Min side: 3
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