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On the product of the self-adjoint operators

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  • Wulf Rehder

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.

Suggested Citation

  • Wulf Rehder, 1982. "On the product of the self-adjoint operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 5, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:473268
    DOI: 10.1155/S0161171282000751
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