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

Read more about this topic:  List Of Functional Analysis Topics

Famous quotes containing the words real and/or complex:

    “Art is not to be taught in Academies. It is what one looks at, not what one listens to, that makes the artist. The real schools should be the streets.”
    —Oscar Wilde (1854–1900)

    “Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such group alone.”
    —Diana Crane (b. 1933)