Spekter enostranskega operatorja premika ima krožno simetrijo. V članku je študiran operator, ki ima eliptično simetrijo. Naj bo ▫$U$▫ neutežen operator premika na separabilnem Hilbertovem prostoru ...▫${\cal H}$▫ in ▫$\alpha$▫ neničelno kompleksno število. Obravnavamo operator ▫$U(\alpha) = (\frac{1}{2})(\alpha U+\alpha ^{-1}U^*)$▫, izračunamo njegovo resolvento in študiramo operator ▫$U(\alpha )=D(\alpha )U(1)D(\alpha )^{-1}$▫. ▫$U(\alpha) $▫ in ▫$U(1)$▫ imata enak spekter le v primeru ▫$\alpha=1$▫.
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