Operator spaces -- Basic theory of operator algebras -- Basic theory of operator modules -- Some 'extremal theory' -- Completely isomorphic theory of operator algebras -- Tensor products of operator algebras -- Selfadjointness criteria -- C*-modules and operator spaces
Summary
This reference presents the general theory of algebras of operators on a Hilbert space, and the modules over such algebras. The new theory of operator spaces is presented early on and the text assembles the basic concepts, theory and methodologies needed to equip a beginning researcher in this area