List of Functional Analysis Topics - Functional Analysis, Classic Results

Functional Analysis, Classic Results

  • Normed vector space
    • Unit ball
  • Banach space
  • Hahn–Banach theorem
  • Dual space
  • Predual
  • Weak topology
  • Reflexive space
  • Polynomially reflexive space
  • Baire category theorem
  • Open mapping theorem (functional analysis)
  • Closed graph theorem
  • Uniform boundedness principle
  • Arzelà–Ascoli theorem
  • Banach–Alaoglu theorem
  • Measure of non-compactness
  • Banach–Mazur theorem

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