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 G_δ.
© 1994 American Mathematical Society. Received by the editors May 3, 1993. The first author's research was partially supported by DGAPA-UNAM and CONACYT. This material is based upon work of the third author supported by National Science Foundation grant DMS-9207071. The government has certain rights in this material. This material is based upon work of the first and fourth authors supported by National Science Foundation grant DMS-9101715. The government has certain rights in this material.
Accepted Version - 9410217.pdf