The Fuglede-Putnam Theory

Beschreibung

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.
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.
Provides a survey of results on the Fuglede-Putnam theorem Contains many applications, examples, and counterexamples Offers the first comprehensive treatment of this theory within the literature

Autor*in

Mohammed Hichem Mortad

Themen in »The Fuglede-Putnam Theory«

Fuglede-Putnam Theorem Unbounded Linear Operators Hilbert Space Bounded Linear Operators Nonnormal Operators

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