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Positive linear functionalBanach spaceBanach algebraBandOrder topologyLattice of subgroupsCompact operatorSobolev spaceBessel's inequalityL-infinityLatticeBesov spaceBounded operatorSpecial linear lie algebraSchur-convex functionCartan subalgebraComposition algebraLogarithmic normNormal coneOrthonormal basisBounded inverse theoremBilinear formMeasurable functionHermitian adjointInclusion mapSymmetric algebraConvex coneComplemented subspaceMatrix normSpectrumContinuous linear operatorResolvent formalismHolomorphic vector bundleFunctional analysisAffine groupChange of basisPoisson manifoldTopological vector spaceIndefinite orthogonal groupSpecial linear groupRank factorizationHolonomic basisOrthogonal basisIncidence algebraSymmetric bilinear formNormFinite morphismLie algebraTensor productProjectionLefschetz fixed-point theoremTopological propertyDirected setProjection-valued measureSelberg trace formulaLattice pathComplete metric spaceDual spaceLie algebra representationModuli spaceInjective functionC*-algebraGraph of a functionBorel setFrobenius normal formIsometryEuclidean topologyIsometry groupInitial and terminal objectsClosed range theoremOperator algebraDistributive latticeHomeomorphismOrlicz spaceModular latticeSubmanifoldDe morgan algebraNormal operatorLinear algebraic groupFunction of a real variableMultilinear formDvoretzky's theoremLinear mapBialgebraOrthogonal functionsBanach fixed-point theoremAlgebraic elementIdealReflexive spaceStrictly convex spaceGeometric latticeDifferential invariantSymmetric spaceInclusion functionPushforwardField normTautological bundleF-spaceQuasiconvex functionK-space