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Mathematical Sciences Classification System

46Cxx - Inner product spaces and their generalizations, Hilbert spaces
{For function spaces, see 46Exx}

• 7
  46C05
  Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
• 46C07
  Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) [See also 46B70, 46M35]
• 1
  46C15
  Characterizations of Hilbert spaces
• 8
  46C20
  Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.) [See also 47B50]
• 2
  46C50
  Generalizations of inner products (semi-inner products, partial inner products, etc.)
• 46C99
  None of the above, but in this section