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Davidson

Functional Analysis and Operator Algebras

Medium: Buch
ISBN: 978-3-031-63664-6
Verlag: Springer International Publishing
Erscheinungstermin: 10.04.2025
Lieferfrist: bis zu 10 Tage

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
Autoren/Hrsg.

Autoren

Part I Functional Analysis.- 1 Set Theory and Topology.- 2 Banach Spaces.- 3 LCTVSs and Weak Topologies.- 4 Linear Operators.- 5 Compact Operators.- Part II Banach and C*-algebras.- 6 Banach Algebras.- 7 Commutative Banach Algebras.- 8 Noncommutative Banach Algebras.- 9 C*-Algebras.- 10 Von Neumann Algebras.- Part III Operator Theory.- 11 Hardy Spaces.- 12 Isometries and Toeplitz Operators.- 13 Nest Algebras.- 14 Dilation Theory.- 15 Nonselfadjoint Operator Algebras.- 16 Noncommutative Convexity.