The non-equivalence of pseudo-Hermiticity and presence of antilinear symmetry

Petr Siegl*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)279-286
Number of pages8
JournalPramana - Journal of Physics
Issue number2
Publication statusPublished - Aug 2009
Externally publishedYes


  • Antilinear symmetry
  • J-self-adjoint operators
  • Pseudo-Hermiticity

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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