Trace Inequalities : For Matrices and Hilbert Space Operators / by Airat M. Bikchentaev, Fuad Kittaneh, Mohammad Sal Moslehian, Yuki Seo.

Format:

Book

Author/Creator:

Bikchentaev, Airat M.

Contributor:

Kittaneh, Fuad.

Moslehian, Mohammad Sal.

Seo, Yuki.

Series:

Forum for Interdisciplinary Mathematics, 2364-6756

Language:

English

Subjects (All):

Operator theory.

Mathematical analysis.

Operator Theory.

Analysis.

Local Subjects:

Operator Theory.

Analysis.

Physical Description:

1 online resource (341 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

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.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9789819765201

981976520X

OCLC:

1484070885