The Fuglede-Putnam Theory

by Mohammed Hichem Mortad

Overview

This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions. Presenting a broad overview of the results obtained in the field since the early 1950s, this is the first monograph to be dedicated to this powerful tool and its variants.
Starting from historical notes and classical versions with their different proofs, the book then explores asymptotic versions, generalizations to non-normal operators, generalizations to unbounded operators, counterexamples, applications, intertwining relations, and conjectures. A rich collection of applications is included. 
Aimed at postgraduate students as well as researchers interested in operator theory, this book could also be taught as a specialized course.

Product Details

ISBN-13:	9783031177828
Publisher:	Springer-Verlag New York, LLC
Publication date:	11/14/2022
Series:	Lecture Notes in Mathematics , #2322
Sold by:	Barnes & Noble
Format:	eBook
File size:	6 MB

Table of Contents

- 1. Classical Versions and Some Historical Notes. - 2. Generalizations to Bounded Nonnormal Operators. - 3. Asymptotic Versions. - 4. Generalizations of the Fuglede-Putnam Theorem to Banach Algebras and Spaces. - 5. Generalizations to Unbounded Operators. - 6. Some Applications. - 7. Some Other Intertwining Relations. - 8. Conjectures.

Editorial Reviews

This monograph is informative, and it collects several interesting results from the single variable operator theory.” (Sameer Chavan, zbMATH 1512.47003, 2023)

From the Publisher