Functional Analysis and Operator Algebras eBook

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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.

This is a digital product.

Functional Analysis and Operator Algebras is written by Kenneth R. Davidson and published by Springer. The Digital and eTextbook ISBNs for Functional Analysis and Operator Algebras are 9783031636653, 3031636651 and the print ISBNs are 9783031636646, 3031636643.