Weakly compactly generated Banach lattices Articles uri icon

authors

  • AVILÉS, ANTONIO
  • GUIRAO, ANTONIO J.
  • LAJARA, SEBASTIAN
  • RODRÍGUEZ, JOSÉ
  • TRADACETE PEREZ, PEDRO

publication date

  • January 2016

start page

  • 165

end page

  • 183

issue

  • 2

volume

  • 234

International Standard Serial Number (ISSN)

  • 0039-3223

Electronic International Standard Serial Number (EISSN)

  • 1730-6337

abstract

  • We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of X such that X coincides with the band generated by K implies that X is weakly compactly generated.

keywords

  • banach lattice; order continuous norm; weakly compact set; weakly compactly generated banach space; spaces; operators