Numerical Ranges of Hilbert Space Operators

This book develops the 100-year-old numerical range theory starting with the basics of operator theory and matrix analysis.

List of contents

Preface; 0. Preliminaries in Operator Theory; 1. Numerical Range; 2. Numerical Ranges of Special Operators; 3. Numerical Contraction; 4. Algebraic and Essential Numerical Ranges 5. Numerical Range and Dilation; 6. Numerical Range of Finite Matrix; 7. Numerical Range of Sn-Matrix; 8. Generalized Numerical Ranges; Appendix: Convex Set.

About the author

Hwa-Long Gau is Professor in the Department of Mathematics at National Central University, Taiwan. Together with Pei Yuan Wu, he has co-authored over 40 publications on numerical range problems. One of them, Zero-dilation index of a finite matrix (2014), is currently the most-downloaded article in 'Linear Algebra and its Applications'.Pei Yuan Wu is Professor Emeritus in the Department of Applied Mathematics of National Chiao Tung University. He has been working in operator theory and matrix analysis for 45 years, recently focusing on the numerical ranges of operators and matrices. He was awarded the 16th Béla Szőkefalvi-Nagy Medal by the Bolyai Institute of University of Szeged in 2015.

Summary

This book, targeted at graduate students and researchers interested in functional analysis, gives a comprehensive coverage of classic and recent works on the numerical range theory. With detailed references to the literature and numerous exercises, it serves as an accessible entry point into this lively and exciting research area.

Product details

• Authors: Hwa-Long Gau, Hwa-Long (National Central University Gau, Pei Yuan Wu, Pei Yuan (National Chiao Tung University Wu
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.07.2021
• EAN: 9781108479066
• ISBN: 978-1-108-47906-6
• No. of pages: 502
• Series: Encyclopedia of Mathematics and its Applications; Encyclopedia of Mathematics an
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Algebra, MATHEMATICS / Algebra / Abstract, Calculus & mathematical analysis