Factorization of operator valued Lp for
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Lahcène Mezrag
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Article
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2004
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John Wiley and Sons
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English
⚖ 152 KB
## Abstract In [5], it is proved that a bounded linear operator __u__, from a Banach space __Y__ into an __L~p~__(__S, ν__) factors through __L__~__p__1~ (__S, ν__) for some __p__~1~ > 1, if __Y__\* is of finite cotype; (__S, ν__) is a probability space for __p__ = 0, and any measure space for 0 <