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


  • For every 1 p > 1 leqslant p > infty , there exist a Banach lattice X p {X_p} and a lattice homomorphism T p {T_p} from X p {X_p} onto c 0 {c_0} which satisfy: (1) T p {T_p} does not preserve an isomorphic copy of c 0 {c_0} . (2) T p {T_p} is a Radon-Nikodym operator. (3) T 1 {T_1} maps weakly Cauchy sequences into norm convergent sequences. (4) If T p {T_p} is written as the product of two operators, then one of them preserves a copy of c 0 {c_0} .

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Ghoussoub, N., & Johnson, W. B.

citation count

  • 11

complete list of authors

  • Ghoussoub, N||Johnson, WB

publication date

  • January 1984