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GENERAL TYPE-STRUCTURES OF CONTINUOUS AND COUNTABLE FUNCTIONALS

✍ Scribed by Dag Normann


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
910 KB
Volume
29
Category
Article
ISSN
0044-3050

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✦ Synopsis


GENERAL TYPE-STRUCTURES OF CONTINUOUS AND COUNTABLE FUNCTIONALS by DAG NORMANN in Oslo (Norway) 1. Application of the Ct(k)-rule: Let B(e(pl), . . .) e h ) ) = (Va, E W k ) ) (3% e(a,A . -. e(a,A.


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## Abstract For a weight function Ο‰ and a closed set __A__ βŠ‚ ℝ^__N__^ let β„°~(Ο‰)~(__A__) denote the space of all ω‐Whitney jets of Beurling type on __A__. It is shown that for each closed set __A__ βŠ‚ ℝ^__N__^ there exists an ω‐extension operator __EA__: β„°~(Ο‰)~(__A__) β†’ β„°~(Ο‰)~(ℝ^__N__^) if and only i