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Factorization of Diagonally Dominant Operators on L1([ 0, 1 ], X)

✍ Scribed by Kevin T. Andrews and Joseph D. Ward

Book ID: 125692592
Publisher: American Mathematical Society
Year: 1985
Tongue: English
Weight: 284 KB
Volume: 291
Category: Article
ISSN: 0002-9947
DOI: 10.2307/2000110

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## 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 <