Counterexamples to several problems on the factorization of bounded linear operators
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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.
complete list of authors
Ghoussoub, N||Johnson, WB