Complexselfadjointness
Abstract
We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, the latter being not necessarily involutive. We discuss extension theory, refined polar and singularvalue decompositions, and antilinear eigenfunction expansions. The study is motivated by physical symmetries in quantum mechanics with nonselfadjoint operators.
 Publication:

arXiv eprints
 Pub Date:
 August 2022
 arXiv:
 arXiv:2208.05739
 Bibcode:
 2022arXiv220805739C
 Keywords:

 Mathematics  Functional Analysis;
 Mathematical Physics;
 Mathematics  Spectral Theory
 EPrint:
 17 pages