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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.
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.