• operator A {\displaystyle A} on an inner product space defines a Hermitian adjoint (or adjoint) operator A ∗ {\displaystyle A^{*}} on that space according...
    18 KB (3,265 words) - 23:54, 11 January 2024
  • case of matrices Hermitian adjoint (adjoint of a linear operator) in functional analysis Adjoint endomorphism of a Lie algebra Adjoint representation of...
    1 KB (192 words) - 09:14, 18 September 2023
  • entries. Other names for the conjugate transpose of a matrix are Hermitian conjugate, adjoint matrix or transjugate. The conjugate transpose of a matrix A...
    10 KB (1,711 words) - 05:55, 26 August 2024
  • own adjoint. If V is finite-dimensional with a given orthonormal basis, this is equivalent to the condition that the matrix of A is a Hermitian matrix...
    48 KB (8,052 words) - 08:56, 23 July 2024
  • algebra, a square matrix with complex entries is said to be skew-Hermitian or anti-Hermitian if its conjugate transpose is the negative of the original matrix...
    6 KB (921 words) - 04:22, 16 April 2024
  • In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element...
    20 KB (3,013 words) - 18:34, 4 August 2024
  • formally similar to the definition of the Hermitian adjoint, however, the transpose and the Hermitian adjoint are not the same map. The transpose is a...
    15 KB (2,716 words) - 12:41, 17 October 2023
  • the Hermitian adjoint. Possibly to avoid confusion with the usual Hermitian adjoint, some textbooks do not provide a name for the Dirac adjoint but simply...
    3 KB (465 words) - 23:01, 12 December 2022
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    Transpose (section Adjoint)
    bilinear forms. The Hermitian adjoint of a map between such spaces is defined similarly, and the matrix of the Hermitian adjoint is given by the conjugate...
    20 KB (2,525 words) - 12:30, 8 May 2024
  • is a continuous linear operator N : H → H that commutes with its Hermitian adjoint N*, that is: NN* = N*N. Normal operators are important because the...
    10 KB (1,483 words) - 11:33, 23 March 2024