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Eigenvectors of perturbed operators
Kuzma, Bojan, 1968-
V članku obravnavamo perturbacijo sebi adjungiranega kompaktnega operatorja ▫$A: {\cal H} \to {\cal H}$▫, kjer je ▫${\cal H}$▫ kompleksen Hilbertov prostor; perturbiramo ga z družino sebi ...adjungiranih operatorjev ranga 1. Pod dokaj splošnimi pogoji pokažemo, da obstaja družina lastnih vektorjev, pripadajočih maksimalnim lastnim vrednostim, ki imajo "eno komponento" konstantno, njihova norma pa je strogo padajoča.
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