Search results for "Discontinuous linear map"

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Automatic continuity of generalized local linear operators

1980

In this note, we present a general automatic continuity theory for linear mappings between certain topological vector spaces. The theory applies, in particular, to local operators between spaces of functions and distributions, to algebraic homomorphisms between certain topological algebras, and to linear mappings intertwining generalized scalar operators.

Discrete mathematicsPure mathematicsGeneral MathematicsLocally convex topological vector spaceTopological tensor productDiscontinuous linear mapSpectral theoremOperator theoryTopological spaceTopological vector spaceContinuous linear operatorMathematicsManuscripta Mathematica
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A rank theorem for analytic maps between power series spaces

1994

Power seriesPure mathematicsGeneral MathematicsFundamental theorem of linear algebraDiscontinuous linear mapCombinatoricssymbols.namesakeFréchet spaceLagrange inversion theoremsymbolsOpen mapping theorem (functional analysis)Algebraic geometry and analytic geometryAnalytic functionMathematicsPublications mathématiques de l'IHÉS
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