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Functional Analysis and Operator Algebras by Kenneth R. Davidson at Abbey's Bookshop,
Functional Analysis and Operator Algebras
— —
Kenneth R. Davidson

Functional Analysis and Operator Algebras

Kenneth R. Davidson

$490.95   $392.41

Hardback

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English
Springer International Publishing AG
10 April 2025
Functional analysis & transforms
Series: CMS/CAIMS Books in Mathematics
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.
By:  
Imprint:   Springer International Publishing AG
Country of Publication:   Switzerland
Edition:   2024 ed.
Volume:   13
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031636646
ISBN 10:   3031636643
Series:   CMS/CAIMS Books in Mathematics
Pages:   797
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
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.

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