Disjointly Homogeneous Banach Lattices and Applications

  • Julio Flores
  • Francisco L. Hernández
  • Pedro Tradacete
Conference paper

DOI: 10.1007/978-3-319-27842-1_13

Part of the Trends in Mathematics book series (TM)
Cite this paper as:
Flores J., Hernández F.L., Tradacete P. (2016) Disjointly Homogeneous Banach Lattices and Applications. In: de Jeu M., de Pagter B., van Gaans O., Veraar M. (eds) Ordered Structures and Applications. Trends in Mathematics. Birkhäuser, Cham

Abstract

This is a survey on disjointly homogeneous Banach lattices and their applications. 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

Disjointly homogeneous Banach lattices 

Mathematics Subject Classification (2010).

Primary 47B38, 46E30 Secondary 46B42, 47B07 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Julio Flores
    • 1
  • Francisco L. Hernández
    • 2
  • Pedro Tradacete
    • 3
  1. 1.Departamento de Matemática Aplicada, Ciencia e Ingeniería de Materialesy Tecnología Electrónica, ESCETUniversidad Rey Juan CarlosMóstolesSpain
  2. 2.Departamento de Análisis MatemáticoUniversidad Complutense de MadridMadridSpain
  3. 3.Department of MathematicsUniversidad Carlos III de MadridLeganésSpain

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