Singular continuous spectrum is generic

Del Rio, R.; Jitomirskaya, S.; Makarov, N.; Simon, B.

doi:10.1090/S0273-0979-1994-00518-X

Singular continuous spectrum is generic
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by R. Del Rio, S. Jitomirskaya, N. Makarov and B. Simon PDF

Bull. Amer. Math. Soc. 31 (1994), 208-212 Request permission

Abstract:

In a variety of contexts, we prove that singular continuous spectrum is generic in the sense that for certain natural complete metric spaces of operators, those with singular spectrum are a dense ${G_\delta }$.

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Charakterisierung des Spektrums eines Integraloperators

Über beschränkte quadratische Formen, deren Differenz vollstetig ist

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