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.
This book develops the 100-year-old numerical range theory starting with the basics of operator theory and matrix analysis.
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 Bela Szokefalvi-Nagy Medal by the Bolyai Institute of University of Szeged in 2015.
Reviews
'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 Open
Book Information
ISBN 9781108479066
Author Hwa-Long Gau
Format Hardback
Page Count 502
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 940g
Dimensions(mm) 240mm * 159mm * 26mm
This book develops the 100-year-old numerical range theory starting with the basics of operator theory and matrix analysis.
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 Bela Szokefalvi-Nagy Medal by the Bolyai Institute of University of Szeged in 2015.
Reviews
'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 Open
Book Information
ISBN 9781108479066
Author Hwa-Long Gau
Format Hardback
Page Count 502
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 940g
Dimensions(mm) 240mm * 159mm * 26mm
