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Polar topology

In functional analysis and related areas of mathematics a polar topology, topology of G {\displaystyle {\mathcal {G}}} -convergence or topology of uniform convergence on the sets of G {\displaystyle {\mathcal {G}}} is a method to define locally convex topologies on the vector spaces of a pairing.

Polar topologies, Polar topologies on the continuous dual space & Preliminaries

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Overview

Preliminaries

Polar topologies

Properties

Examples of polar topologies induced by a pairing

Polar topologies and topological vector spaces

Polar topologies on the continuous dual space

Polar topologies induced by subsets of the continuous dual space

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Polar topology

Nodes56
Edges55
Triples4
Avg. degree1.96
Density0.035714
Components1

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Polar topology

Top relations

related to Examples of polar topologies induced by a pairing · 4
Polar topology → Hausdorff, If, The, Throughout

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Important terminology

displaystyle x' topology sigma mathcal convex space subsets pairing hausdorff vector subset dual continuous spaces right left locally equicontinuous polar

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polar topologyrelated to Examples of polar topologies induced by a pairingThroughout0.60section
Polar topologyrelated to Examples of polar topologies induced by a pairingThe0.60section
Polar topologyrelated to Examples of polar topologies induced by a pairingHausdorff0.60section
Polar topologyrelated to Examples of polar topologies induced by a pairingIf0.60section

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