[Banach] Abstract of a paper by Vladimir G. Troitsky and Omid Zabeti

This is an announcement for the paper "Fremlin tensor products of concavifications of Banach lattices" by Vladimir G. Troitsky and Omid Zabeti.

Abstract: Suppose that $E$ is a uniformly complete vector lattice and $p_1, \ldots , p_n$ are positive reals. We prove that the diagonal of the Fremlin projective tensor product of $E_(p_1), \ldots ,E_(p_n)$ can be identified with $E_(p)$ where $p = p_1+\ldots+p_n$ and $E_(p)$ stands for the $p$-concavification of $E$. We also provide a variant of this result for Banach lattices. This extends the main result of [BBPTT].

Archive classification: math.FA

Mathematics Subject Classification: Primary: 46B42. Secondary: 46M05, 46B40, 46B45

Remarks: 10 pages

Submitted from: ozabeti@yahoo.ca

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1301.0749

or

http://arXiv.org/abs/1301.0749