3 papers
math.FA2015
The Dual Form of the Approximation Property for a Banach Space and a Subspace
T. Figiel, W. B. Johnson
Given a Banach space X and a subspace Y, the pair (X,Y) is said to have the approximation property (AP) provided there is a net of finite rank bounded linear operators on X all of…
math.FA1994
Banach spaces with the -summing property
Alvaro Arias, Tadek Figiel, William B. Johnson +1
A Banach space has the -summing property if the norm of every linear operator from to a Hilbert space is equal to the -summing norm of the operator. Up to a point, th…
math.FA1992
Factorizations of natural embeddings of l_p^n int L_r
Tadek Figiel, William B. Johnson, Gideon Schechtman
This is a continuation of the paper [FJS] with a similar title. Several results from there are strengthened, in particular: 1. If T is a "natural" embedding of l_2^n into L_1 then,…