7 Operator Algebras
- Chapter 36: Banach Algebras
- Chapter 37: $C^{*}$-Algebras
- circle37.1: Involutions
- circle37.2: Subalgebras
- circle37.3: Unitary Elements
- circle37.4: Self-Adjoint Elements
- circle37.5: *-Homomorphisms
- circle37.6: The Gelfand-Naimark Theorem
- circle37.7: The Continuous Functional Calculus
- circle37.8: Order Structures of $C^{*}$-Algebras
- circle37.9: Positive Linear Functionals
- circle37.10: States
- circle37.11: The GNS Construction
- circle37.12: Non-Unital $C^{*}$-Algebras
- circle37.13: Quotients of $C^{*}$-Algebras
- Chapter 38: Von Neumann Algebras
- Chapter 39: Examples of Operator Algebras
- circle39.1: The Matrix Algebra
- circle39.2: $B(H)$
- circle39.3: $C_{0}(X)$
- circle39.4: The Hardy Space
- circle39.5: The Disk Algebra
- circle39.6: $\ell^{1}(\integer)$
- circle39.7: $BC(X)$
- circle39.8: $L^{\infty}$
- circleChapter 40: Notations
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