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6 Operator Algebras

  • Chapter 35: Banach Algebras
    • circle35.1: Banach Algebras
    • circle35.2: Invertible Elements
    • circle35.3: The Index Group
    • circle35.4: Ideals
    • circle35.5: The Spectrum
    • circle35.6: The Holomorphic Functional Calculus
    • circle35.7: Multiplicative Functionals
    • circle35.8: The Gelfand Transform
  • Chapter 36: $C^{*}$-Algebras
    • circle36.1: Involutions
    • circle36.2: Subalgebras
    • circle36.3: Unitary Elements
    • circle36.4: Self-Adjoint Elements
    • circle36.5: *-Homomorphisms
    • circle36.6: The Gelfand-Naimark Theorem
    • circle36.7: The Continuous Functional Calculus
    • circle36.8: Order Structures of $C^{*}$-Algebras
    • circle36.9: Positive Linear Functionals
    • circle36.10: States
    • circle36.11: The GNS Construction
    • circle36.12: Non-Unital $C^{*}$-Algebras
    • circle36.13: Quotients of $C^{*}$-Algebras
  • Chapter 37: Von Neumann Algebras
    • circle37.1: Topologies on $B(H)$
    • circle37.2: Von Neumann Algebras
  • Chapter 38: Examples of Operator Algebras
    • circle38.1: The Matrix Algebra
    • circle38.2: $B(H)$
    • circle38.3: $C_{0}(X)$
    • circle38.4: The Hardy Space
    • circle38.5: The Disk Algebra
    • circle38.6: $\ell^{1}(\integer)$
    • circle38.7: $BC(X)$
  • circleChapter 39: Notations

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Jerry's Digital Garden

BibliographyComments
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