Complex-self-adjointness

نویسندگان

چکیده

We develop the concept of operators in Hilbert spaces which are similar to their adjoints via antiunitary operators, latter being not necessarily involutive. discuss extension theory, refined polar and singular-value decompositions, antilinear eigenfunction expansions. The study is motivated by physical symmetries quantum mechanics with non-self-adjoint operators.

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ژورنال

عنوان ژورنال: Analysis and Mathematical Physics

سال: 2022

ISSN: ['1664-2368', '1664-235X']

DOI: https://doi.org/10.1007/s13324-022-00740-3