An Introduction to Operators on the Hardy-Hilbert Space

From the reviews:

"This text appears as number 237 in the Graduate Texts in Mathematics series published by Springer. … possible textbook for graduate courses, as well as independent study and reference for research. The book is very well written and contains very elegant proofs. … Each chapter in the book has plenty of exercises … . In short: this is a wonderful book, a pleasure to read and use as a text, or add to any mathematician’s ‘collection’ of references to a beautiful and rich subject." (Mihaela Poplicher, MathDL, April, 2007)

"The aim of this book is to provide an introduction to operator theory on the Hardy space H
²
, also called the Hardy-Hilbert space. … Each chapter ends with a list of exercises and notes and remarks. … The book gives an elementary and brief account of some basic aspects of operators on H
²
and can be used as a first introduction to this area." (Takahiko Nakazi, Mathematical Reviews, 2007 k)

"This text is a gentle introduction to the ‘concrete’ operator theory on the Hardy-Hilbert space H
²
, an important model space for operator theory on function spaces. … Each chapter contains a number of exercises. … Historical notes and remarks are also included. The bibliography is exhaustive and up to date. The book seems completely suitable for a first- or second-year graduate course in function spaces and operator theory … and can probably be adapted to both a basic and a more advanced course." (Dragan Vukotic, Zentralblatt MATH, Vol. 1116 (18), 2007)