Operator Analysis

"The philosophy of this book is that Hilbert space geometry binds function theory and operator theory together, not only allowing each to aid the other, but creating a rich structure that can be used to discover new phenomena. There is a "three-way street" between operator theory and function theory: sometimes one uses function theory to prove operator theorems, sometimes one uses operator theory to prove function theorems, and sometimes the theories are so interwoven that one cannot even state the theorem without using the language of both operator theory and function theory"--