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A note on the lattice properties of continuous linear mappings

✍ Scribed by Anthony L. Peressini

Publisher
Springer-Verlag
Year
1970
Tongue
French
Weight
300 KB
Volume
115
Category
Article
ISSN
0025-5874

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A Note on the Analytic Complete Continui
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We show that a Banach space X has the analytic complete continuity property if and only if for every 1 ≀ p < ∞ and for every f ∈ H p X , the sequence f r n e iβ€’ is p-Pettis-Cauchy for every r n ↑ 1. This allows us to show that X has the analytic complete continuity property if and only if L p X has