Operator Theory by Example
Stephan Ramon Garcia, Javad Mashreghi, William T. Ross
Abstract
Abstract Operator Theory by Example is aimed at graduate students just getting started in operator theory. Rather than discuss the subject in the abstract, this book covers the subject through twenty instructive examples of a wide variety of operators. For each operator, we discuss its norm, spectrum, commutant, invariant subspaces, and interesting properties that are particular to that operator. An important feature of this book is dozens of exercises at the end of each chapter (over 600 in total) along with hints. These problems are designed to give the reader an opportunity to master the topics covered in the chapter as well as give them an opportunity to further explore the vast operator theory literature. Each chapter also contains well researched historical facts which place the chapter in context so the reader can see the development of the field.