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Embedding Subspaces of Lp into Np, 0 p < 1

✍ Scribed by Gideon Schechtman; Artem Zvavitch


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
259 KB
Volume
227
Category
Article
ISSN
0025-584X

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Factorization of operator valued Lp for
✍ Lahcène Mezrag 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 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 <