Table of Contents 1. Introduction. 2. The isomorphic classification of separable C(K) spaces. A. Milutin's Theorem. B. C(K) spaces with separable dual via the Szlenk index 3. Some Banach spaceâ€¦ (More)

This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai's generalize central approximate identities in ideals in Câ€¦ (More)

Let N and M be von Neumann algebras. It is proved that L p (N) does not Banach embed in L p (M) for N infinite, M finite, 1 â‰¤ p < 2. The following considerably stronger result is obtained (whichâ€¦ (More)

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, inâ€¦ (More)

It is proved that every function of finite Baire index on a separable metric space K is a D-function, i.e., a difference of bounded semi-continuous functions on K. In fact it is a strong D-function,â€¦ (More)

We give an example of a compact metric space K, an open dense subset U of K, and a sequence (fn) in C(K) which is pointwise convergent to a non-continuous function on K, such that for every u âˆˆ Uâ€¦ (More)

It is proved that every non-trivial weak-Cauchy sequence in a Banach space with the PCP (the Point of Continuity Property) has a boundedly complete basic subsequence. The following result, dueâ€¦ (More)

Certain subclasses of B 1 (K), the Baire-1 functions on a compact metric space K, are defined and characterized. Some applications to Banach spaces are given. Let X be a separable infiniteâ€¦ (More)

Let Z be a fixed separable operator space, X âŠ‚ Y general separable operator spaces, and T : X â†’ Z a completely bounded map. Z is said to have the Complete Separable Extension Property (CSEP) if everyâ€¦ (More)