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.
Produkteigenschaften
- Artikelnummer: 9783031636646
- Medium: Buch
- ISBN: 978-3-031-63664-6
- Verlag: Springer International Publishing
- Erscheinungstermin: 10.04.2025
- Sprache(n): Englisch
- Auflage: 2024
- Serie: CMS/CAIMS Books in Mathematics
- Produktform: Gebunden
- Gewicht: 1365 g
- Seiten: 797
- Format (B x H x T): 160 x 241 x 49 mm
- Ausgabetyp: Kein, Unbekannt