This is an announcement for the paper "Diagonals of injective tensor products of Banach lattices with bases" by Donghai Ji, Byunghoon Lee and Qingying Bu.
Abstract: In this paper, we show that four main diagonal spaces of injective tensor products are pairwise isometrically isomorphic. When E is a Banach lattice, we show that the tensor diagonal of E is a 1-unconditional basic sequence in both the n-fold injective tensor product of E and the n-fold symmetric injective tensor product of E.
Archive classification: math.FA
Mathematics Subject Classification: 46M05, 46B28, 46G25
Remarks: 14 pages, 3 figures
Submitted from: yicimaster@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1502.05012
or