Book
Operator and Norm Inequalities and Related Topics
2022
Abstract
Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.
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Details
- Title
- Operator and Norm Inequalities and Related Topics
- Creators
- Hugo J WoerdemanIlya M SpitkovskyMohammad Sal MoslehianRichard M Aron
- Series
- Trends in Mathematics
- Publisher
- Springer International Publishing; Cham
- Edition
- 1st ed. 2022.
- Resource Type
- Book
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 9783031021046; 3031021045; 991021866372804721