Overview
- More elementary than the competition
- Contains clear and beautiful proofs
- Has been class-tested a number of times
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 237)
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Table of contents (6 chapters)
Reviews
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 H2, 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 H2 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 H2, 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)
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction to Operators on the Hardy-Hilbert Space
Authors: Rubén A. Martínez-Avendaño, Peter Rosenthal
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-48578-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2007
Hardcover ISBN: 978-0-387-35418-7Published: 01 December 2006
Softcover ISBN: 978-1-4419-2253-3Published: 29 November 2010
eBook ISBN: 978-0-387-48578-2Published: 12 March 2007
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XII, 220
Topics: Operator Theory, Functional Analysis, Functions of a Complex Variable