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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 2, Fasc. 2,
pages 157 - 160
 

RADONIFYING OPERATORS RELATED TO p -STABLE MEASURES ON BANACH SPACES

W. Linde
V. Mandrekar
A. Weron

Abstract: For a real p(1 < p < 2) and its conjugate p' we characterize Banach spaces E for which an operator T : L '--> E p is h p -Radonifying iff T' is p -absolutely summing. In case p = 2 these are exactly spaces of type 2 as was proved by Chobanjan and Tarieladze [1]. For p < 2 the condition is much stronger because these are spaces of stable type p isomorphic to a subspace of some L p

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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