Abstract
The author obtains the common representation of a continuous multiplier of a pair of spaceE 1,E 2, where ?1, ?2 are locally convex spaces with topology defined by weighted norms. One case is investigated specially: in this caseE 1 orE 2 (or both spaces simultaneously) are inductive limits of weighted normed spaces of functions.
In conclusion the author shows that the assumptions under which the description of a continuous multiplier was obtained, are essential.
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КОРОБЕЙНИК, Ю.Ф. O мультипликаторах ве совых функциональны х пространств. Analysis Mathematica 15, 105–114 (1989). https://doi.org/10.1007/BF01910943
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DOI: https://doi.org/10.1007/BF01910943