The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry
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The non-equivalence of the presence of antilinear symmetry and pseudo-Hermiticity is shown for bounded operators. Two appropriate examples are operators with non-empty residual spectrum. The class of operators for which the equivalence holds is extended to the spectral operators of scalar type. The importance of 𝐽-self-adjointness is stressed and new proofs using this property are provided.
Petr Siegl1 2 3
Volume 97, 2023
Continuous Article Publishing mode
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