Disjointly homogeneous Banach lattices: Duality and complementation Articles uri icon

authors

  • FLORES, J.
  • HERNANDEZ, F. L.
  • SPINU, E.
  • TRADACETE PEREZ, PEDRO
  • TROITSKY, V. G.

publication date

  • May 2014

start page

  • 5858

end page

  • 5885

issue

  • 9

volume

  • 266

International Standard Serial Number (ISSN)

  • 0022-1236

Electronic International Standard Serial Number (EISSN)

  • 1096-0783

abstract

  • We study several properties of disjointly homogeneous Banach lattices with a special focus on two questions: the self-duality of this class and the existence of disjoint sequences spanning complemented subspaces. Various results around these problems are given. In particular, we provide examples of reflexive disjointly homogeneous spaces whose dual spaces are not disjointly homogeneous. (C) 2014 Elsevier Inc. All rights reserved.

keywords

  • banach lattice; disjoint sequence; orlicz space; complementation