Positive Schur properties in spaces of regular operators Articles uri icon

authors

  • TRADACETE PEREZ, PEDRO

publication date

  • June 2015

start page

  • 305

end page

  • 316

issue

  • 2

volume

  • 19

International Standard Serial Number (ISSN)

  • 1385-1292

Electronic International Standard Serial Number (EISSN)

  • 1572-9281

abstract

  • Properties of Schur type for Banach lattices of regular operators and tensor products are analyzed. It is shown that the dual positive Schur property behaves well with respect to Fremlin's projective tensor product, which allows us to construct new examples of spaces with this property. Similar results concerning the positive Grothendieck property are also presented.