6533b856fe1ef96bd12b250d
RESEARCH PRODUCT
Automatic continuity of generalized local linear operators
Ernst AlbrechtMichael M. Neumannsubject
Discrete mathematicsPure mathematicsGeneral MathematicsLocally convex topological vector spaceTopological tensor productDiscontinuous linear mapSpectral theoremOperator theoryTopological spaceTopological vector spaceContinuous linear operatorMathematicsdescription
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.
year | journal | country | edition | language |
---|---|---|---|---|
1980-09-01 | Manuscripta Mathematica |