The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis Rdn '87]: Chapters 1-7 (measure and integra tion, LP...
The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from ana...
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume s ability to be used as a self-contained text. Readers will find the presentation especially useful for independent study or...
This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. ...
