Trace Inequalities

For Matrices and Hilbert Space Operators

Airat M. Bikchentaev, Mohammad Sal Moslehian, Fuad Kittaneh, et al.

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Springer Nature Singapore img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

This book is a comprehensive and advanced exploration of trace inequalities in the context of matrices and operators acting on  Hilbert spaces. Its goal is to present elegant inequalities with innovative proofs. Instead of presenting generalized versions that can be complicated and lack clarity, the book focuses on beautiful and original inequalities. Divided into eight chapters, this book is designed for researchers and graduate students in mathematics, physics, and engineering. It provides detailed explanations for most of the results and includes a variety of exercises and problems to help readers understand the content and inspire further research into advanced topics.

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Schlagwörter

Unitarily Invariant Norms, Operator Means, Operator Inequalities, Majorization, Norm Inequalities, Positive Maps, Ando-Hiai-Okubo Trace Inequalities, Noncommutative Probability Spaces, Quantum Relative Entropy, Golden-Thompson Trace Inequalities, Lieb-Thirring Trace Inequalities, Operator Convex Functions, Trace Inequalities of Quantum Mechanics