Valuations on Banach Lattices Articles uri icon

authors

  • TRADACETE PEREZ, PEDRO
  • VILLANUEVA, IGNACIO

publication date

  • June 2018

start page

  • 2468

end page

  • 2500

issue

  • 8

volume

  • 2020

International Standard Serial Number (ISSN)

  • 1073-7928

Electronic International Standard Serial Number (EISSN)

  • 1687-0247

abstract

  • We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including Lp(mu)Lp(mu)⁠, Orlicz spaces, and spaces C(K)C(K) of continuous functions on a compact Hausdorff space. In particular, we study decomposition properties, boundedness, and integral representation of continuous valuations.