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Orlicz sequence spaces of Banach-Saks type. (English) Zbl 0735.46009

It is shown that in Orlicz sequence spaces of Banach-Saks type \(p\), weakly null sequences admit of \(p\)- Hilbertian subsequences.
Reviewer: H.Knaust (El Paso)

MSC:

46B45 Banach sequence spaces
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References:

[1] J.Elton, Weakly null normalized sequences in Banach spaces. Dissertation, Yale University 1978.
[2] B. V. Godun andS. A. Rakov, Banach-Saks property and the problem of three spaces. Mat. Zametki31, 61-74 (1982). English translation in: Math. Notes31, 32-39 (1982). · Zbl 0493.46015
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