Displaying similar documents to “On operators factorizable through L p space”

Ideals of finite rank operators, intersection properties of balls, and the approximation property

Åsvald Lima, Eve Oja (1999)

Studia Mathematica


We characterize the approximation property of Banach spaces and their dual spaces by the position of finite rank operators in the space of compact operators. In particular, we show that a Banach space E has the approximation property if and only if for all closed subspaces F of c 0 , the space ℱ(F,E) of finite rank operators from F to E has the n-intersection property in the corresponding space K(F,E) of compact operators for all n, or equivalently, ℱ(F,E) is an ideal in K(F,E). ...

Factoring Rosenthal operators.

Teresa Alvarez (1988)

Publicacions Matemàtiques


In this paper we show that a Rosenthal operator factors through a Banach space containing no isomorphs of l.