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46Cxx

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Inner product spaces and their generalizations, Hilbert spaces

{For function spaces, see 46Exx}

  • 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]
  • 46C15 Characterizations of Hilbert spaces
  • 46C20 Spaces with indefinite inner product (Krein spaces, Pontryagin spaces, etc.) [See also 47B50]
  • 46C50 Generalizations of inner products (semi-inner products, partial inner products, etc.)
  • 46C99 None of the above, but in this section