Representing completely continuous operators through weakly az-compact operators 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.

published proceedings

  • BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

author list (cited authors)

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

citation count

  • 3

complete list of authors

  • Johnson, William B||Lillemets, Rauni||Oja, Eve

publication date

  • June 2016

publisher