Almost disjointness preservers Articles uri icon

authors

  • OIKHBERG, TIMUR
  • TRADACETE PEREZ, PEDRO

publication date

  • June 2017

start page

  • 650

end page

  • 686

issue

  • 3

volume

  • 69

International Standard Serial Number (ISSN)

  • 0008-414X

Electronic International Standard Serial Number (EISSN)

  • 1496-4279

abstract

  • We study the stability of disjointness preservers on Banach lattices. In many cases, we prove that an "almost disjointness preserving" operator is well approximable by a disjointness preserving one. However, this approximation is not always possible, as our examples show.

keywords

  • banach lattice; disjointness preserving; differentiable functions; biseparating maps; banach-lattices; operators; spaces; stability