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On the product of the self-adjoint operators

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...

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Autore principale: Wulf Rehder
Natura: Artigo
Lingua:Inglês
Pubblicazione: Wiley 1982-01-01
Serie:International Journal of Mathematics and Mathematical Sciences
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Accesso online:http://dx.doi.org/10.1155/S0161171282000751
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