Operator And Norm Inequalities And Related Topics (Trends In Mathematics)

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.

• | Author: Richard M. Aron|Mohammad Sal Moslehian|Ilya M. Spitkovsky|Hugo J. Woerdeman
• | Publisher: Birkhäuser
• | Publication Date: Aug 11, 2022
• | Number of Pages: 835 pages
• | Language: English
• | Binding: Hardcover/Mathematics
• | ISBN-10: 3031021037
• | ISBN-13: 9783031021039