Aron / Moslehian / Spitkovsky / Woerdeman

Operator and Norm Inequalities and Related Topics

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160,49 €

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Fachbuch

Buch. Softcover

2024

xiii, 822 S. 5 s/w-Abbildungen, 4 Farbabbildungen, Bibliographien.

In englischer Sprache

Birkhäuser Verlag GmbH. ISBN 978-3-031-02106-0

Format (B x L): 15,5 x 23,5 cm

Das Werk ist Teil der Reihe: Trends in Mathematics

Produktbeschreibung

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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