
Numerical Ranges of Hilbert Space Operators
Cambridge University Press
Published on 5. August 2021
Book
Hardback
502 pages
978-1-108-47906-6 (ISBN)
Description
Starting with elementary operator theory and matrix analysis, this book introduces the basic properties of the numerical range and gradually builds up the whole numerical range theory. Over 400 assorted problems, ranging from routine exercises to published research results, give you the chance to put the theory into practice and test your understanding. Interspersed throughout the text are numerous comments and references, allowing you to discover related developments and to pursue areas of interest in the literature. Also included is an appendix on basic convexity properties on the Euclidean space. Targeted at graduate students as well as researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works on the numerical range theory. It serves as an accessible entry point into this lively and exciting research area.
Reviews / Votes
'All in all, this is a well-written and useful book dedicated to a special subject in the realm of single operator theory, which will be helpful to every working mathematician somehow involved with numerical range, as well as to graduate students going into this research field. I have kept my copy on that special bookshelf near my desk within hands' reach.' Carlos S. Kubrusly, zbMATH OpenMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
Worked examples or Exercises
Dimensions
Height: 239 mm
Width: 208 mm
Thickness: 25 mm
Weight
953 gr
ISBN-13
978-1-108-47906-6 (9781108479066)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Hwa-Long Gau | Pei Yuan Wu
Numerical Ranges of Hilbert Space Operators
E-Book
09/2021
Cambridge University Press
€121.99
Available for download

Hwa-Long Gau
Numerical Ranges of Hilbert Space Operators
E-Book
07/2021
Cambridge University Press
€121.99
Available for download
Persons
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 Bela Szokefalvi-Nagy Medal by the Bolyai Institute of University of Szeged in 2015.
Author
National Central University, Taiwan
National Chiao Tung University, Taiwan
Content
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.