English

Disjointly homogeneous Banach lattices and applications

Functional Analysis 2015-09-07 v1

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.

Keywords

Cite

@article{arxiv.1509.01499,
  title  = {Disjointly homogeneous Banach lattices and applications},
  author = {Julio Flores and Francisco L. Hernández and Pedro Tradacete},
  journal= {arXiv preprint arXiv:1509.01499},
  year   = {2015}
}

Comments

20 pages, to appear in Proceedings Positivity VII Conference (2013)