Bases of random unconditional convergence in banach spaces Articles uri icon

authors

  • LOPEZ-ABAD, J.
  • TRADACETE PEREZ, PEDRO

publication date

  • December 2016

start page

  • 9001

end page

  • 9032

issue

  • 12

volume

  • 368

International Standard Serial Number (ISSN)

  • 0002-9947

abstract

  • We study random unconditional convergence for a basis in a Banach space. The connections between this notion and classical unconditionality are explored. In particular, we analyze duality relations, reflexivity, uniqueness of these bases and existence of unconditional subsequences.

keywords

  • unconditional basis; random unconditional convergence; rearrangement-invariant spaces; ruc-systems; sequence; sums