The subject of operator algebras has experienced enormous growth in recent years with significant applications to areas within algebraic mathematics including allied fields as single operator theory, non-self-adjoint operator algebras, K-theory, knot and ergodic theories, and mathematical physics. This book is designed to make these developments accessible to the non-specialist. Proofs are sketched exposing the main concepts and their connections and readers are referred to other sources for complete proofs.technical point is the inequality \\Tv + K\\ agt; || 7; || for all alt;p e C(3D), K compact It follows from this that each element of C*(S) is uniquely of the form Tv + K for some alt;p e C(3D) and K e K.(H2). The symbol map Tv + K -*. alt;p is then well- definedanbsp;...
|Title||:||A user's guide to operator algebras|
|Author||:||Peter A. Fillmore|
|Publisher||:||Wiley-Interscience - 1996-04-19|