Representing completely continuous operators through weakly ∞‐compact operators Academic Article uri icon

abstract

  • © 2016 London Mathematical Society. Let V,W∞, and W be operator ideals of completely continuous, weakly ∞-compact, and weakly compact operators, respectively. We prove that V = W∞ oW-1. As an immediate application the recent result by Dowling, Freeman, Lennard, Odell, Randrianantoanina, and Turett follows: the weak Grothendieck compactness principle holds only in Schur spaces.

author list (cited authors)

  • Johnson, W. B., Lillemets, R., & Oja, E.

citation count

  • 2

publication date

  • June 2016

publisher