Operator and Norm Inequalities and Related Topics

Released on by Richard M. Aron
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  • Operator and Norm Inequalities and Related Topics Book Detail

  • Author : Richard M. Aron
  • Release Date : 2022-08-10
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 822
  • ISBN 13 : 3031021045
  • File Size : 47,47 MB
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Operator and Norm Inequalities and Related Topics by Richard M. Aron PDF Summary

Book Description: 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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