Mathematical Sciences Classification System

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

  • 6
    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

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