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List of functional analysis topics : ウィキペディア英語版 | List of functional analysis topics This is a list of functional analysis topics, by Wikipedia page. ==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
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