Trace Inequalities
For Matrices and Hilbert Space Operators
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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.
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.
Presents a comprehensive and advanced account of trace inequalities in complex matrices and operators on Hilbert spaces Introduces several active research areas in matrix analysis and operator theory Includes elegant inequalities with ingenious proofs and presents beautiful and original inequalities
Autor*in
Airat M. Bikchentaev
Themen in »Trace Inequalities«
Operator Inequalities Unitarily Invariant Norms Majorization Norm Inequalities Positive Maps Operator Means Operator Convex Functions Golden-Thompson Trace Inequalities Lieb-Thirring Trace Inequalities Ando-Hiai-Okubo Trace Inequalities Trace Inequalities of Quantum Mechanics Quantum Relative Entropy Noncommutative Probability Spaces
Stimmen zu »Trace Inequalities«
“This monograph offers a nice and unified treatment of trace inequalities that cuts across pure mathematics and quantum theory. With clear exposition, strong motivation, and extensive bibliographic support, it is a valuable addition to the literature. Exercises, commentary, and hints add to its pedagogical strength. It will serve as a valuable reference for specialists and a high-level teaching resource.” (Tin Yau Tam, zbMATH 1569.15002, 2026)
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