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A continuity theorem for order bounded linear functionals

✍ Scribed by Kung-Fu Ng

Publisher
Springer
Year
1973
Tongue
English
Weight
341 KB
Volume
201
Category
Article
ISSN
0025-5831

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A support theorem for quasianalytic func
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## Abstract For a weight function __Ο‰__ and an open set __G__ in ℝ^__N__^ denote by β„°(__Ο‰__)(__G__) (resp. __E__~{__Ο‰__ }~(__G__)) the __Ο‰__ ‐ultradifferentiable functions of Beurling (resp. Roumieu) type on __G__. Using ideas of HΓΆrmander it is shown that the functionals __u__ in β„°β€²(__Ο‰__)(__G__)