Original Articles

OBSERVATIONS ABOUT THE PROJECTIVE TENSOR PRODUCT OF BANACH SPACES, I—

Published in: Quaestiones Mathematicae
Volume 24 , issue 4 , 2001 , pages: 519–533

DOI: 10.1080/16073606.2001.9639238

Author(s): Qingying Bu Department of Mathematics, USA , Joe Diestel Banach Center, Department of Mathematical Sciences, USA

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Abstract

A sequential description of the projective tensor product lp⊗X, is given. This description allows us to show the inclusion lp⊗X, into lp⊗X, is a semi-embedding. As a consequence, if X has the Radon-Nikodym property so does lp⊗X, A discussion of difficulties with L^p(0, 1) ⊗X, follows.

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