Functional Analysis and Operator Algebras
Series: CMS/CAIMS Books in Mathematics; 13;
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72 618 Ft (69 160 Ft + 5% VAT)
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72 618 Ft
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Product details:
- Edition number 2024
- Publisher Springer
- Date of Publication 10 April 2025
- Number of Volumes 1 pieces, Book
- ISBN 9783031636646
- Binding Hardback
- No. of pages797 pages
- Size 235x155 mm
- Language English
- Illustrations 1 Illustrations, black & white; 2 Illustrations, color 700
Categories
Short description:
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.
MoreLong description:
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.
MoreTable of Contents:
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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