Noncommutative Integration and Operator Theory

Peter Dodds is Emeritus Professor of Mathematics at Flinders University, Tonsley, Australia. Ben de Pagter is Emeritus Professor of Mathematics at Delft University of Technology, Delft, The Netherlands. Fedor Sukochev is Professor of Mathematics at the University of New South Wales, Sydney, Australia.

“This book is a masterful work that synthesizes classical Banach space theory and operator theory within the noncommutative framework, offering reworked proofs and new insights. The text is a valuable resource for researchers and students aiming to explore the deep interplay between analysis, geometry, and operator algebras. Its detailed expositions and examples make it an essential reference for advancing in noncommutative integration and operator theory.” (Xudong Lai, Mathematical Reviews, June, 2025)“The book will serve best those who want to familiarise themselves with this beautiful theory, but will be useful to both graduate students and researchers interested in noncommutative measure and integration theory. … It is written very clearly and the exposition is thoroughly modern, enabling uniform treatments of subjects … . It should serve the mathematical community well in the years to come.” (Stanisław Goldstein, zbMATH 1545.46002, 2024)

• - 1. A Review of Relevant Operator Theory. - 2. Measurable Operators. - 3. Singular Value Functions. - 4. Symmetric Spaces of τ-Measurable Operators. - 5. Strongly Symmetric Spaces of τ-Measurable Operators. - 6. Examples. - 7. Interpolation.