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The strong topology on the dual space of a summability field and the mu-continuity problem

โœ Scribed by J. C. Magee; W. H. Ruckle


Publisher
Springer-Verlag
Year
1987
Tongue
French
Weight
272 KB
Volume
195
Category
Article
ISSN
0025-5874

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## Abstract For ฮฉ an open subset of IR^N^ and 1 < __p__ < โˆž, we prove that any complemented subspace __E__ of __L__^p^~loc~ (ฮฉ) contains either a complemented copy of (__l__^2^)^IN^ or a complemented copy of (__l__^p^)^IN^, provided โ‰ˆ๏ธ __F__ โ‰ˆ๏ธ and ฯ‰ and โ‰ˆ๏ธ ฯ‰โŠ• __F__ with __F__ Banach space. We also