The Fuglede-Putnam Theory

Download or read book The Fuglede-Putnam Theory written by Mohammed Hichem Mortad and published by Springer Nature. This book was released on 2022-11-14 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.