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On orlicz sequence spaces

✍ Scribed by J. Lindenstrauss; L. Tzafriri

Book ID: 112888963
Publisher: The Hebrew University Magnes Press
Year: 1971
Tongue: English
Weight: 489 KB
Volume: 10
Category: Article
ISSN: 0021-2172
DOI: 10.1007/bf02771656

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It is shown that if l . is an Orlicz sequence space, then the space l w 1 (l . ) of weakly summable sequences in l . is continuously embedded into l . (l 2 ) (resp., into l . (l . )) whenever t [ .(-t) is equivalent to a concave function (resp., a convex function and . is a supermultiplicative funct