Published October 1994
| public
Journal Article
Operators with singular continuous spectrum: II. Rank one operators
- Creators
- Del Rio, R.
- Makarov, N.
-
Simon, B.
Abstract
For an operator, A, with cyclic vector ϕ, we study A+λP, where P is the rank one projection onto multiples of ϕ. If [α,β] ⊂ spec (A) and A has no a.c. spectrum, we prove that A+λP has purely singular continuous spectrum on (α,β) for a dense G_δ of λ's.
Additional Information
© 1994 Springer-Verlag. Received: 12 July 1993; in revised form October 25, 1993. Research partially supported by DGAPA-UNAM and CONACYT. This material is based upon work suported by the National Science Foundation under Grant No. DMS-9207071. The Government has certain rights in this material. This material is based upon work supported by the National Science Foundation under Grant No. DMS-9101715. The Government has certain rights in this material.Additional details
- Eprint ID
- 83373
- Resolver ID
- CaltechAUTHORS:20171120-161021287
- Universidad Nacional Autónoma de México (UNAM)
- Consejo Nacional de Ciencia y Tecnología (CONACYT)
- DMS-9207071
- NSF
- DMS-9101715
- NSF
- Created
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2017-11-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field