Functional Analysis and Operator Algebras
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 p...
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| Autor principal: | |
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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edición: | 1st ed. 2025. |
| Colección: | CMS/CAIMS Books in Mathematics,
13 |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/978-3-031-63665-3 |
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| Sumario: | 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. |
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| Descripción Física: | 1 online resource (XIV, 797 p. 3 illus.). 2 illus. in color. |
| ISBN: | 9783031636653 |
| ISSN: | 2730-6518 ; |
| DOI: | 10.1007/978-3-031-63665-3 |