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Hermitian operator

Ciro Santilli (@cirosantilli, 37) ... Algebra Linear algebra Matrix Eigenvalues and eigenvectors Spectral theorem Hermitian matrix
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
This is the possibly infinite dimensional version of a Hermitian matrix, since linear operators are the possibly infinite dimensional version of matrices.
There's a catch though: now we don't have explicit matrix indices here however in general, the generalized definition is shown at: en.wikipedia.org/w/index.php?title=Hermitian_adjoint&oldid=1032475701#Definition_for_bounded_operators_between_Hilbert_spaces
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Riesz representation theorem

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Hermitian operator

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