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On subnormality of generalized derivations and tensor products
Magajna, Bojan
Naj bo ▫${\cal H}$▫ Hilbertov prostor, ▫${\cal B(H)}$▫ algebra omejanih operatorjev na njem in ▫$C^2({\cal H})$▫ ideal vseh Hilbert-Schmidtovih operatorjev na ▫${\cal H}$▫. Za poljubna ▫$A,B \in ...{\cal B(H)}$▫ naj bosta ▫$\delta_{A,B}$▫ in ▫$\zeta_{A,B}$▫ operatorja na prostoru ▫$C^2({\cal H})$▫, definirana z ▫$\delta_{A,B} = AX-XB$▫ in ▫$\zeta_{A,B} = AXB$▫. Članek odgovori na vprašanje, kdaj sta operatorja ▫$\delta_{A,B}$▫ in ▫$\zeta_{A,B}$▫ subnormalna oziroma kvazinormalna.
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