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Functional Analysis and Operator Algebras / by Kenneth R. Davidson

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: CMS/CAIMS Books in Mathematics ; 13Publisher: Cham : Springer Nature Switzerland, 2025Publisher: Cham : Imprint: Springer, 2025Edition: 1st ed. 2025Description: 1 Online-Ressource(XIV, 797 p. 3 illus., 2 illus. in color.)ISBN:
  • 9783031636653
Subject(s): Additional physical formats: 9783031636646 | 9783031636660 | 9783031636677 | Erscheint auch als: 9783031636646 Druck-Ausgabe | Erscheint auch als: 9783031636660 Druck-Ausgabe | Erscheint auch als: 9783031636677 Druck-AusgabeDDC classification:
  • 515.7 23
DOI: DOI: 10.1007/978-3-031-63665-3Online resources: Summary: 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.Summary: 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 USDH^pUSD 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.PPN: PPN: 1922926922Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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