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Numerical Ranges of Hilbert Space Operators by Hwa-Long Gau (National Central University, Taiwan) at Abbey's Bookshop,
Numerical Ranges of Hilbert Space Operators
— —
Hwa-Long Gau (National Central University, Taiwan) Pei Yuan Wu (National Chiao Tung University, Taiwan)

Numerical Ranges of Hilbert Space Operators

Hwa-Long Gau (National Central University, Taiwan),  Pei Yuan Wu (National Chiao Tung University, Taiwan)

$216.95

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English
Cambridge University Press
05 August 2021
Algebra; Calculus & mathematical analysis
Series: Encyclopedia of Mathematics and its Applications
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.
By:   , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 240mm,  Width: 159mm,  Spine: 26mm
Weight:   940g
ISBN:   9781108479066
ISBN 10:   1108479065
Series:   Encyclopedia of Mathematics and its Applications
Pages:   502
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active
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.

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.

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