List of Functional Analysis Topics - Real and Complex Algebras

Real and Complex Algebras

  • Uniform norm
  • Matrix norm
  • Spectral radius
  • Normed division algebra
  • Stone–Weierstrass theorem
  • Banach algebra
  • *-algebra
  • B*-algebra
  • C*-algebra
    • Universal C*-algebra
    • Spectrum of a C*-algebra
  • Positive element
  • Positive linear functional
  • operator algebra
    • nest algebra
    • reflexive operator algebra
    • Calkin algebra
  • Gelfand representation
  • Gelfand–Naimark theorem
  • Gelfand–Naimark–Segal construction
  • Von Neumann algebra
    • Abelian von Neumann algebra
  • von Neumann double commutant theorem
    • Commutant, bicommutant
  • Topological ring
  • Noncommutative geometry
  • Disk algebra
  • Colombeau algebra

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