Mackey space

In mathematics, particularly in functional analysis, a Mackey space is a locally convex topological vector space X such that the topology of X coincides with the Mackey topology τ(X,X′), the finest topology which still preserves the continuous dual.They are named after George Mackey.Examples of locally convex spaces that are Mackey spaces include: This mathematical analysis–related article is a stub.You can help Wikipedia by expanding it.
mathematicsfunctional analysislocally convex topological vector spacetopologyMackey topologyfinest topologycontinuous dualGeorge Mackeybarrelled spacesinfrabarreled spacesbornological spacesreflexive spacesmetrizable spacesFréchet spacesBanach spacesHilbert spacesseparablecompletequasi-barrelledTopologies on spaces of linear mapsBourbaki, NicolasÉléments de mathématiqueGrothendieck, AlexanderLecture Notes in MathematicsSpringer-VerlagCambridge University PressSchaefer, Helmut H.DualitylinearDual spaceDual systemDual topologyOperator topologiesPolar setPolar topologyTopologiesNorm topologyDual normUltraweak/Weak-*operatorin Hilbert spacesMackey Strong dualUltrastrongBanach–AlaogluMackey–ArensTranspose of a linear mapSaturated familyTotal setBiorthogonal systemTopological vector spacesBanach spaceCompletenessContinuous linear operatorLinear functionalFréchet spaceLinear mapLocally convex spaceMetrizabilityTopological vector spaceVector spaceAnderson–KadecClosed graph theoremF. Riesz'sHahn–Banachhyperplane separationVector-valued Hahn–BanachOpen mapping (Banach–Schauder)Bounded inverseUniform boundedness (Banach–Steinhaus)Bilinear operatorAlmost openBoundedContinuousClosedCompactDensely definedDiscontinuousTopological homomorphismFunctionalBilinearSesquilinearSeminormSublinear functionTransposeAbsolutely convex/diskAbsorbing/RadialAffineBalanced/CircledBanach disksBounding pointsComplemented subspaceConvexConvex cone (subset)Linear cone (subset)Extreme pointPrevalent/ShyRadialRadially convex/Star-shapedSymmetricAffine hullAlgebraic interior (core)Convex hullLinear spanMinkowski additionAsplundB-complete/PtakBanachCountablyBarrelledBK-spaceUltra-BornologicalBraunerConvenient(DF)-spaceDistinguishedF-spaceFK-AK spaceFK-spaceFréchetGrothendieckHilbertInfrabarreledInterpolation spaceK-spaceLB-spaceLF-space(Pseudo)MetrizableMontelQuasibarrelledQuasi-completeQuasinormedPolynomiallyReflexiveSchwartzSemi-completeStereotypeStrictlyUniformlyQuasi-UltrabarrelledUniformly smoothWebbedWith the approximation propertyBoundednessbornologyBarrelled spaceBounded setBornological spaceVectorBounded operatorUniform boundedness principleBarrelled setBornivorous setQuasi-barrelled spaceInfrabarrelled spaceUltrabarrelled spaceUltrabornological spacemathematical analysis