Counterexamples to several problems concerning -embeddings

Authors:
N. Ghoussoub and B. Maurey

Journal:
Proc. Amer. Math. Soc. **92** (1984), 409-412

MSC:
Primary 46B20; Secondary 54E52

DOI:
https://doi.org/10.1090/S0002-9939-1984-0759665-8

MathSciNet review:
759665

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Abstract: Let JT (resp. JH) be the James-tree space (resp. the Hagler space). We observe that two canonical subspaces of and , -embed in even though they fail the Radon-Nikodym property. Such -embeddings cannot be the product of a finite number of semi-embeddings. This answers negatively several questions of Bourgain-Rosenthal [**1**] and Rosenthal [**8**].

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DOI:
https://doi.org/10.1090/S0002-9939-1984-0759665-8

Article copyright:
© Copyright 1984
American Mathematical Society