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The Fuglede-Putnam Theory de Mohammed Hichem Mortad

The Fuglede-Putnam Theory: Lecture Notes in Mathematics, cartea 2322

Autor Mohammed Hichem Mortad
en Limba Engleză Paperback – 16 noi 2022
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.
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Specificații

ISBN-13: 9783031177811
ISBN-10: 3031177819
Pagini: 158
Ilustrații: VIII, 158 p. 1 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.27 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

- 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.

Recenzii

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

Textul de pe ultima copertă

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.

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Aimed at postgraduate students as well as researchers interested in operator theory, this book could also be taught as a specialized course.

Caracteristici

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