On the product of the self-adjoint operators

Wulf Rehder

International Journal of Mathematics and Mathematical Sciences, 1982, vol. 5, 1-4

Abstract:

A proof is given for the fact that the product of two self-adjoint operators, one of which is also positive, is again self-adjoint if and only if the product is normal. This theorem applies, in particular, if one operator is an orthogonal projection. In general, the positivity requirement cannot be dropped.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:473268

DOI: 10.1155/S0161171282000751

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