In the recently developed duality theory of operator spaces, bounded operators are replaced by 'completely bounded' ones, isomorphism by 'complete isomorphisms'

Contains the proof of a noncommutative analogue of the inequality for sums of free random variables over a given von Neumann subalgebra.

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, comple

Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.

Interpreting ""quantized coefficients"" as finite rank operators in a fixed Hilbert space allows the author to replace matrix computations with algebraic techni