Functional Analysis and Operator Algebras

von Kenneth R. Davidson

797 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: CMS/CAIMS Books in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Funktionalanalysis und Abwandlungen
• ISBN: 9783031636646
• Sprache: Englisch
• Erscheinungsdatum: 10.04.2025
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing