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Self-adjoint operator

An operator

T

on an inner-product space is self-adjoint when

⟨ T v, w ⟩ = ⟨ v, Tw ⟩

for all vectors

v, w

.

Table of contents 123 6
- Finite-dimensional spectral theorem Self-adjoint operator 29 1
  - Orthonormal eigenbasis Finite-dimensional spectral theorem 10
- Laguerre differential operator on polynomials Self-adjoint operator 76 3
  - Laguerre polynomial Laguerre differential operator on polynomials 39 2
    - Generalized Laguerre polynomial Laguerre polynomial 39 1
      - Rodrigues formula Generalized Laguerre polynomial 22

 Ancestors (6)

 Incoming links (2)

 Synonyms (1)

Self-adjoint