Mathematics – Functional Analysis
Scientific paper
1996-04-08
Mathematics
Functional Analysis
Scientific paper
Two methods of constructing infinitely many isomorphically distinct $\Cal L_p$-spaces have been published. In this article we show that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint. We use these methods to give a complete isomorphic classification of the spaces $R_p^\alpha$ constructed by Bourgain, Rosenthal, and Schechtman and to show that $X_p\otimes X_p$ is not isomorphic to a complemented subspace of any $R_p^\alpha.$
No associations
LandOfFree
Tensor products and independent sums of $\Cal L_p$-spaces, $1<p<\infty$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tensor products and independent sums of $\Cal L_p$-spaces, $1<p<\infty$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tensor products and independent sums of $\Cal L_p$-spaces, $1<p<\infty$ will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-55717