Loewner's Theorem on Monotone Matrix Functions

• Main Author: Simon, Barry (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 354
• Subjects: Functions of real variables.; Matrix theory.; Algebra.; Operator theory.; Group theory.; Real Functions.; Linear and Multilinear Algebras, Matrix Theory.; Operator Theory.; Group Theory and Generalizations.

This book provides an in depth discussion of Loewner's theorem on the characterization of matrix monotone functions. The author refers to the book as a 'love poem,' one that highlights a unique mix of algebra and analysis and touches on numerous methods and results. The book details m...