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Bornivorous set

In functional analysis, a subset of a real or complex vector space X {\displaystyle X} that has an associated vector bornology B {\displaystyle {\mathcal {B}}} is called bornivorous and a bornivore if it absorbs every element of B . {\displaystyle {\mathcal {B}}.} If X {\displaystyle X} is a topological vector space (TVS) then a subset S {\displaystyle…

Definitions, Properties & Examples and sufficient conditions

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Definitions

Bounded subsetLocally convexMinkowski functionalBanach disksBanach disk
5 related topics

Properties

Pseudometrizable TVS
1 related topics

Examples and sufficient conditions

Balanced hull
1 related topics

Overview

Functional analysisVector bornologyAbsorbsTopological vector spaceBornological spaces
5 related topics

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Examples and sufficient conditions

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Map overview Semantic statistics

Bornivorous set

Nodes36
Edges35
Triples4
Avg. degree1.94
Density0.055556
Components1

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Bornivorous set

Top relations

related to Examples and sufficient conditions · 4
Bornivorous set → Every, If, The, TVS

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Important terminology

vector isbn oclc displaystyle bornivorous topological new york spaces space bounded convex vol functional every tvs analysis subset absorbs disk

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Bornivorous setrelated to Examples and sufficient conditionsEvery0.60section
Bornivorous setrelated to Examples and sufficient conditionsTVS0.60section
Bornivorous setrelated to Examples and sufficient conditionsThe0.60section
Bornivorous setrelated to Examples and sufficient conditionsIf0.60section

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