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Automatic continuity of generalized local linear operators

Ernst AlbrechtMichael M. Neumann

subject

Discrete mathematicsPure mathematicsGeneral MathematicsLocally convex topological vector spaceTopological tensor productDiscontinuous linear mapSpectral theoremOperator theoryTopological spaceTopological vector spaceContinuous linear operatorMathematics

description

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.

https://doi.org/10.1007/bf01299605