For Matrices and Hilbert Space Operators Bikchentaev, Airat M. creator author. aut http://id.loc.gov/vocabulary/relators/aut Kittaneh, Fuad. author. aut http://id.loc.gov/vocabulary/relators/aut Moslehian, Mohammad Sal. author. aut http://id.loc.gov/vocabulary/relators/aut Seo, Yuki. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text si 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XIII, 332 p. 2 illus., 1 illus. in color. online resource. 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. Chapter 1 Fundamentals of Matrices and Operators -- Chapter 2 Unitarily Invariant Norms and Inequalities -- Chapter 3 Trace Inequalities for Positive Semidefinite Matrices -- Chapter 4 Norm Inequalities for Positive Semidefinite Matrices -- Chapter 5 Positive Maps and Operator Means. by Airat M. Bikchentaev, Fuad Kittaneh, Mohammad Sal Moslehian, Yuki Seo. Operator theory Mathematical analysis Operator Theory Analysis QA329-329.9 9789819765201 https://doi.org/10.1007/978-981-97-6520-1 https://doi.org/10.1007/978-981-97-6520-1 241219 20251030114628.0 978-981-97-6520-1