This is an announcement for the paper "Disjointly homogeneous Banach lattices and applications" by Julio Flores, Francisco L. Hernandez and Pedro Tradacete.

Abstract: This is a survey on disjointly homogeneous Banach lattices and their applicactions. Several structural properties of this class are analyzed. In addition we show how these spaces provide a natural framework for studying the compactness of powers of operators allowing for a unified treatment of well-known results.

Archive classification: math.FA

Mathematics Subject Classification: 47B38, 46E30

Remarks: 20 pages, to appear in Proceedings Positivity VII Conference

Submitted from: ptradace@math.uc3m.es

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

http://front.math.ucdavis.edu/1509.01499

or

http://arXiv.org/abs/1509.01499