Operator and Norm Inequalities and Related Topics

Richard M. Aron (Curatore)

Mohammad Sal Moslehian (Curatore)

Birkhauser Verlag AG, 2022

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.

• Curatore: Richard M. Aron, Mohammad Sal Moslehian
• Editore: Birkhauser Verlag AG
• Collana: Trends in Mathematics
• Anno: 2022
• Rilegatura: Hardback
• Pagine: 822 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783031021039

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