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Operator algebraLinear mapBounded operatorTopological vector spaceProjectionHomeomorphismOperator theoryBilinear mapLinear functionalLinear functionPositive linear functionalDual spaceSpectrumContinuous functionLinear transformationCompact operatorOperatorLinear operatorLinear formLinear spanConnectorLinear relationFunctionalFunctional analysisSequence spaceLinear subspaceMultilinear formTopological propertyCategory of topological spacesReproducing kernel hilbert spaceMultilinear mapLinear differential equationBilinear formTranspose of a linear mapPathContinuumPiecewise linear manifoldLinear approximationLinear continuumLinear systemFunctional calculusTopological fieldOrthogonal functionsDifferential operatorCalculus on euclidean spaceLinear algebraOrthogonal transformationHilbert transformTopological groupLocal diffeomorphismCompact-open topologyFunction of a real variableOpen and closed mapsDualPushforwardAnalytic manifoldRepresentation of a lie groupHolomorphic functionMatrix analysisMeasurable functionIsometryOrthogonal complementClosed graph theoremMorphismFibrationAlgebra over a fieldHolomorphic vector bundleDual normShift operatorLinearityProjection-valued measureLoopGlobal analysisCoordinate vectorContinuum theoryCommutation matrixCovering groupDifferentiable manifoldProjectivizationAffine groupPovmRepresentationTrace classLinear algebraic groupInvariant manifoldBounded inverse theoremSmoothnessDifferential topologyCotangent bundleGeometric transformationConvex conjugateTime dependent vector fieldSelf-adjoint operatorConvex combinationTransfer functionMetrizable spaceLogarithmic normProduct topologyCongruenceProbability measure