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  • 46-XX Functional analysis
  • 46Cxx Inner product spaces and their generalizations, Hilbert spaces
  • 46C15 Characterizations of Hilbert spaces

46Cxx Inner product spaces and their generalizations, Hilbert spaces

  • 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.)
  • 46C15 Characterizations of Hilbert spaces
  • 46C20 Spaces with indefinite inner product (Kreĭn spaces, Pontryagin spaces, etc.)
  • 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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