List of Functional Analysis Topics - Hilbert Space

  • Definite bilinear form
  • Euclidean space
  • Inner product space
  • Hilbert space
  • Parallelogram law
  • Orthonormal basis
  • Orthogonalization
  • Orthogonal complement
  • Gram–Schmidt process
  • Legendre polynomials
  • Matrices
    • Orthogonal matrix
    • Unitary matrix
    • Normal matrix, normal operator
    • Symmetric matrix
    • Hermitian operator self-adjoint operator, Hermitian adjoint
    • Eigenvector, eigenvalue, eigenfunction
    • Diagonal matrix
    • Shift operator
    • Hilbert matrix
  • Normal vector
  • Parseval's identity
  • Riesz representation theorem
  • Bra-ket notation
  • Spectral theorem, Spectral theory
  • Rayleigh quotient
  • Mercer's theorem
  • Reproducing kernel Hilbert space
  • Trace class
  • Min-max theorem
  • Rigged Hilbert space
  • Hellinger–Toeplitz theorem
  • Direct integral
  • Semi-Hilbert space

Read more about this topic:  List Of Functional Analysis Topics

Famous quotes containing the word space:

    “Sir Walter Raleigh might well be studied, if only for the excellence of his style, for he is remarkable in the midst of so many masters. There is a natural emphasis in his style, like a man’s tread, and a breathing space between the sentences, which the best of modern writing does not furnish. His chapters are like English parks, or say rather like a Western forest, where the larger growth keeps down the underwood, and one may ride on horseback through the openings.”
    —Henry David Thoreau (1817–1862)