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Vector bornology

In mathematics, especially functional analysis, a bornology B {\displaystyle {\mathcal {B}}} on a vector space X {\displaystyle X} over a field K , {\displaystyle \mathbb {K} ,} where K {\displaystyle \mathbb {K} } has a bornology ℬ K {\displaystyle \mathbb {K} } , is called a vector bornology if B {\displaystyle {\mathcal {B}}} makes the vector space…

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Characterizations

Balanced hull
1 related topics

Bornology on a topological vector space

BoundedVon NeumannLocally convexDisks
4 related topics

Definitions

Balanced hullsConvex hullsConvex
3 related topics

Examples

SeminormComplete spaceEquicontinuous
3 related topics

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Overview

Definitions

Characterizations

Bornology on a topological vector space

Topology induced by a vector bornology

Examples

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Map overview Semantic statistics

Vector bornology

Nodes25
Edges24
Triples13
Avg. degree1.92
Density0.08
Components1

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Vector bornology

Top relations

related to Bornology on a topological vector space · 4
Vector bornology → If, In, Neumann, Unless
related to Topology induced by a vector bornology · 3
Vector bornology → Let, Suppose, Then
related to Bornology of equicontinuity · 2
Vector bornology → Let, The
related to Characterizations · 2
Vector bornology → Suppose, Then
related to Vector bornology · 2
Vector bornology → If, Let

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Important terminology

displaystyle bornology mathcal bounded vector space mathbb called convex set subsets maps topological locally field sets real complex numbers balanced

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Vector bornologyrelated to Bornology of equicontinuityLet0.60section
Vector bornologyrelated to Bornology of equicontinuityThe0.60section
Vector bornologyrelated to Bornology on a topological vector spaceIf0.60section
Vector bornologyrelated to Bornology on a topological vector spaceNeumann0.60section
Vector bornologyrelated to Bornology on a topological vector spaceIn0.60section
Vector bornologyrelated to Bornology on a topological vector spaceUnless0.60section
Vector bornologyrelated to CharacterizationsSuppose0.60section
Vector bornologyrelated to CharacterizationsThen0.60section
Vector bornologyrelated to Topology induced by a vector bornologySuppose0.60section
Vector bornologyrelated to Topology induced by a vector bornologyLet0.60section
Vector bornologyrelated to Topology induced by a vector bornologyThen0.60section
Vector bornologyrelated to Vector bornologyLet0.60section

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    Min side: 3
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