Numerical Ranges of Hilbert Space Operators

This book covers the basic properties of the numerical range and builds up the theory through over 400 problems, comments, and references. It is targeted at graduate students and researchers interested in functional analysis and provides a comprehensive coverage of classic and recent works.

Format: Hardback
Length: 502 pages
Publication date: 05 August 2021
Publisher: Cambridge University Press

This comprehensive textbook offers a thorough introduction to the field of numerical range theory, beginning with elementary operator theory and matrix analysis. It systematically builds up the theory, covering key properties and concepts. The book includes over 400 diverse problems, ranging from routine exercises to published research results, allowing readers to apply the theory and test their understanding. Throughout the text, numerous comments and references are provided, facilitating exploration of related developments and the pursuit of specific areas of interest in the literature. Additionally, an appendix on basic convexity properties in the Euclidean space is included. Designed for graduate students and researchers interested in functional analysis, this book provides a comprehensive coverage of classic and recent works in numerical range theory. It serves as an accessible entry point into this lively and exciting research area.

Weight: 954g
Dimension: 163 x 240 x 32 (mm)
ISBN-13: 9781108479066