Numerical Ranges of Hilbert Space Operators (Encyclopedia of Mathematics and its Applications, Series Number 179) - Hardcover

Book 182 of 188: Encyclopedia of Mathematics and its Applications

Gau, Hwa-Long; Wu, Pei Yuan

 
9781108479066: Numerical Ranges of Hilbert Space Operators (Encyclopedia of Mathematics and its Applications, Series Number 179)
Hardcover
ISBN 10: 1108479065 ISBN 13: 9781108479066
Publisher: Cambridge University Press, 2021

Synopsis

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.

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About the Authors

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.

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Publisher
Cambridge University Press
Publication date
2021
Language
English
ISBN 10 
1108479065
ISBN 13 
9781108479066
Binding
Hardcover
Edition number
1
Number of pages
502