In this book, first published in 2003, the reader is provided with a tour of the principal results
and ideas in the theories of completely positive maps, completely bounded maps, dilation …

This book provides the main results and ideas in the theories of completely bounded maps,
operator spaces, and operator algebras, along with some of their main applications. It …

This invaluable reference is the first to present the general theory of algebras of operators on
a Hilbert space, and the modules over such algebras. The new theory of operator spaces is …

The Handbook presents an overview of most aspects of modernBanach space theory and its
applications. The up-to-date surveys, authored by leading research workers in the area, are …

" These notes are centered around the equivalence of two major open problems: one
formulated by Connes (1976), about traces and ultraproducts of von Neumann algebras, the …

A noncommutative Poisson transform associated to a certain class of sequences of
operators on Hilbert spaces, with property (P), is defined on some universalC*-algebras …

We examine the semicrossed products of a semigroup action by∗-endomorphisms on a C*-
algebra, or more generally of an action on an arbitrary operator algebra by completely …

We prove that every pair of commuting CP maps on a von Neumann algebra M can be
dilated to a commuting pair of endomorphisms (on a larger von Neumann algebra). To …

We examine the question of when the $* $–homomorphism $\lambda: A* _D B\to\widetilde
{A}* _ {\widetilde {D}}\widetilde {B} $ of full amalgamated free product C $^* $–algebras …

We give a new formulation of some of our recent results on the following problem: if all
uniformly bounded representations on a discrete group G are similar to unitary ones, is the …