Numerical Ranges of Hilbert Space Operators

Hardback

Main Details

Title Numerical Ranges of Hilbert Space Operators
Authors and Contributors      By (author) Hwa-Long Gau
By (author) Pei Yuan Wu
SeriesEncyclopedia of Mathematics and its Applications
Physical Properties
Format:Hardback
Pages:502
Dimensions(mm): Height 240,Width 159
Category/GenreAlgebra
Calculus and mathematical analysis
ISBN/Barcode 9781108479066
ClassificationsDewey:515.733
Audience
Tertiary Education (US: College)
Illustrations Worked examples or Exercises

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 5 August 2021
Publication Country United Kingdom

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.

Author Biography

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.