Abstract
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.
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Albrecht, E., Neumann, M. Automatic continuity of generalized local linear operators. Manuscripta Math 32, 263–294 (1980). https://doi.org/10.1007/BF01299605
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DOI: https://doi.org/10.1007/BF01299605