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Function space

In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set X into a vector space has a natural vector space structure given by pointwise addition and scalar multiplication. In other…

Examples, Functional analysis & In linear algebra

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Overview

In linear algebra

Examples

Functional analysis

Uniform norm

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Map overview Semantic statistics

Function space

Nodes93
Edges92
Triples36
Avg. degree1.98
Density0.021505
Components1

How this topic connects Entity context

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Function space

Top relations

related to Functional analysis · 14
Function space → Banach, Gagliardo, Hardy, Hilbert, Kondrachov, Littlewood, Many, Nirenberg, Rellich, Riesz, Specifically, The, This, Thorin
related to Examples · 11
Function space → Also, As, Banach, Cartesian, Function, Hilbert, Hom, In, It, The, YX
related to In linear algebra · 9
Function space → Erdős, For, Hom, Kaplansky, Let, One, That, The, When
is a · 1
Function space → set of functions between two fixed sets
related to Uniform norm · 1
Function space → If

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Important terminology

functions space set displaystyle function continuous topology structure spaces functional analysis vector topological linear pointwise omega one theory compact maps

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Function spaceis aset of functions between two fixed sets0.90text
Function spacerelated to ExamplesFunction0.60section
Function spacerelated to ExamplesIn0.60section
Function spacerelated to ExamplesYX0.60section
Function spacerelated to ExamplesAs0.60section
Function spacerelated to ExamplesThe0.60section
Function spacerelated to ExamplesHilbert0.60section
Function spacerelated to ExamplesBanach0.60section
Function spacerelated to ExamplesIt0.60section
Function spacerelated to ExamplesAlso0.60section
Function spacerelated to ExamplesCartesian0.60section
Function spacerelated to ExamplesHom0.60section

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    Min side: 3
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