Counterexamples to several problems on the factorization of bounded linear operators Academic Article uri icon

abstract

  • For every 1 ≤ p < ∞, there exist a Banach lattice Xp and a lattice homomorphism Tp from Xp onto C0 which satisfy: (1) Tp does not preserve an isomorphic copy of c0. (2) Tp is a Radon-Nikodym operator. (3) T1 maps weakly Cauchy sequences into norm convergent sequences. (4) If Tp is written as the product oftwo operators, then one of them preservesa copy of c0. © 1984 American Mathematical Society.

author list (cited authors)

  • Ghoussoub, N., & Johnson, W. B.

citation count

  • 10

complete list of authors

  • Ghoussoub, N||Johnson, WB

publication date

  • February 1984