Functional Analysis and Operator Algebras

By Kenneth Davidson

This book offers a comprehensive introduction to various aspects of functional analysis and operator algebras. In Part I, readers will find the foundational material suitable for a one-semester course on functional analysis and linear operators. Additionally, Part I includes enrichment topics that provide flexibility for instructors. Part II covers the fundamentals of Banach algebras and C*-algebras, followed by more advanced material on C* and von Neumann algebras. This section is suitable for use in graduate courses, with instructors having the option to select specific topics. Part III explores a range of important topics in operator theory and operator algebras. These include $H^p$ spaces, isometries and Toeplitz operators, nest algebras, dilation theory, applications to various classes of nonself-adjoint operator algebras, and noncommutative convexity and Choquet theory. This material is suitable for graduate courses and learning seminars, offering instructors flexibility in selecting topics.

• Format: Hardcover
• Language: English
• ISBN: 3031636643
• ISBN13: 9783031636646
• Release Date: April 2025
• Publisher: Springer
• Length: 797 Pages
• Weight: 2.87 lbs.
• Dimensions: 1.7" x 6.1" x 9.2"