The Fuglede-Putnam Theory

Mohammed Hichem Mortad (Autor)

Buch | Softcover

VIII, 158 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-17781-1 (ISBN)

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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.

- 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.

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

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

Erscheinungsdatum	17.11.2022
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 158 p. 1 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	267 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	bounded linear operators • Fuglede-Putnam theorem • hilbert space • Nonnormal Operators • unbounded linear operators
ISBN-10	3-031-17781-9 / 3031177819
ISBN-13	978-3-031-17781-1 / 9783031177811
Zustand	Neuware