12 citations · 42 across the 26 of their papers we have counts for
5 papers · 1 filter
Polynomial Schur and Polynomial Dunford-Pettis Properties
Jeff Farmer, William B. Johnson
A Banach space is {\it polynomially Schur} if sequential convergence against analytic polynomials implies norm convergence. Carne, Cole and Gamelin show that a space has this prope…
Computing p-summing norms with few vectors
William B. Johnson, Gideon Schechtman
It is shown that the p-summing norm of any operator with n-dimensional domain can be well-aproximated using only ``few" vectors in the definition of the p-summing norm. Except for…
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,…
Analytic Disks in Fibers over the Unit Ball of a Banach Space
B. J. Cole, T. W. Gamelin, William B. Johnson
We study biorthogonal sequences with special properties, such as weak or weak-star convergence to 0, and obtain an extension of the Josefson-Nissenzweig theorem. This result is app…
The proportional UAP characterizes weak Hilbert spaces
William B. Johnson, Gilles Pisier
We prove that a Banach space has the uniform approximation property with proportional growth of the uniformity function iff it is a weak Hilbert space.