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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

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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