The Fuglede-Putnam theory

Author(s)

• Mortad, Mohammed Hichem

Bibliographic Information

The Fuglede-Putnam theory

Mohammed Hichem Mortad

（Lecture notes in mathematics, v. 2322）

Springer, c2022

• : pbk

Note

Includes bibliographical references and index

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BC18034452
• ISBN:
  • 9783031177811
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: viii, 158 p.
• Size: 24 cm
• Classification:
  • DC23 : 515.724
• Subject Headings:
  • LCSH : Operator theory
• Parent Bibliography ID:
  • BA00146586