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Sums of products of positive operators and spectra of Lüders operators
Magajna, Bojan
Vsak omejen operator ▫$T$▫ na neskončno razsežnem Hilbertovem prostoru se da izraziti kot vsota treh operatorjev, ki so podobni pozitivnim operatorjem; dva taka člena zadoščata, če ▫$T$▫ ni kompaktna ...perturbacija skalarnega večkratnika identitete. Spektri Lüdersovih operatorjev (elementarnih operatorjev na ▫${\rm B}(\mathcal{H})$▫ s pozitivnimi koeficienti) dolžine vsaj tri niso vedno vsebovani v ▫$\mathbb{R}^+$▫. Spektri takih operatorjev dolžine največ dva pa so vsebovani v ▫$\mathbb{R}^+$▫, če koeficienti na eni strani komutirajo.
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