Operator and Norm Inequalities and Related Topics

822 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Trends in Mathematics
• ISBN: 9783031021060
• Sprache: Englisch
• Erscheinungsdatum: 24.07.2024
• Genre: Mathematik/Analysis
• Verlag: Springer International Publishing
• Herausgegeben von: Richard M. Aron, Mohammad Sal Moslehian, Ilya M. Spitkovsky, Hugo J. Woerdeman