Introduction to Operator Space Theory

The first part of this book is an introduction with emphasis on examples that illustrate the theory of operator spaces. The second part is devoted to applications to C*-algebras with a systematic exposition of tensor products of C* algebras. The third part of the book describes applications to non self-adjoint operator algebras and similarity problems. The author''s counterexample to the Halmos problem is presented along with work on the new concept of length of an operator algebra.