Hwa-Long Gau, Pei Yuan Wu

Numerical Ranges of Hilbert Space Operators

• Gebundenes Buch

Produktbeschreibung

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

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 502
• Erscheinungstermin: 7. Oktober 2021
• Englisch
• Abmessung: 239mm x 208mm x 25mm
• Gewicht: 953g
• ISBN-13: 9781108479066
• ISBN-10: 1108479065
• Artikelnr.: 61494724

Autorenporträt

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'.

Inhaltsangabe

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.