Singular continuous spectrum is generic

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

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

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ISSN 1088-9485(online) ISSN 0273-0979(print)

Singular continuous spectrum is generic

Authors: R. Del Rio, S. Jitomirskaya, N. Makarov and B. Simon
Journal: Bull. Amer. Math. Soc. 31 (1994), 208-212
MSC: Primary 47B15; Secondary 34L40, 35P05, 47A10, 47B25, 47F05, 47N20
MathSciNet review: 1260519
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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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