Singular continuous spectrum is generic

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Singular Continuous Spectrum Is Generic

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 Gδ . In the spectral analysis of various operators of mathematical physics, a key step, often the hardest, is to prove that the operator has no continuous singular spectrum, that is, that the spectral ...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1994

ISSN: 0273-0979

DOI: 10.1090/s0273-0979-1994-00518-x