Trace Inequalities

For Matrices and Hilbert Space Operators
2024
ISBN: 978-981-97-6519-5
Verlag: Springer Nature Singapore

Buch, Englisch, 332 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 686 g

Reihe: Forum for Interdisciplinary Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Bikchentaev, Airat M.

Seo, Yuki

Kittaneh, Fuad

Moslehian, Mohammad Sal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.

Über Autor(innen)

Airat Midkhatovich Bikchentaev is a professor at the Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University (Volga Region), Kazan, Russia. Previously, he served as a visiting professor at several universities in Kazakhstan and Uzbekistan. He received the Kandidat Nauk (Ph.D.) in 1990 and Doctor Nauk (Dr.Sc.) in 2012. He was a leading researcher at the Mathematical Center of the Volga Region of the Russian Federation, and his research concerns functional analysis, operator theory, and matrix analysis. In 1993, he was supported by a grant from the French Mathematical Society. From 2008 to 2021, he was the deputy editor-in-chief of the  journal, published by Springer. He is also an editor of the journal.

Fuad Kittaneh is a professor in the Department of Mathematics at the University of Jordan, where he has also held various administrative positions. After receiving his Ph.D. from Indiana University, USA, in 1982, he has worked at several universities in Jordan and other countries. His research fields are functional analysis, operator theory, and matrix analysis. He has been invited to give talks at several international universities and research centers. He is on the editorial boards of several prestigious mathematical journals such as the , , , and .

Mohammad Sal Moslehian is a professor in the Department of Pure Mathematics at Ferdowsi University of Mashhad, Iran. He is a member of the Academy of Sciences of Iran and a TWAS fellow. His research fields include functional analysis, operator theory, and matrix analysis. Earlier, he was a senior associate at ICTP in Italy, and a visiting professor at various universities in the UK, Sweden, and Japan. He serves as the founder and editor-in-chief of the following Springer journals: , and .

Yuki Seo is a professor of Mathematics Education at Osaka Kyoiku University, Japan. He is a member of the Mathematical Society of Japan, and his research concerns functional analysis, operator theory, and matrix analysis. He is an editor of the  and the .