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Published January 1995 | public
Journal Article

Operators with Singular Continuous Spectrum: I. General Operators

Abstract

The Baire category theorem implies that the family, F, of dense sets G_ δ in fixed metric space, X, is a candidate for generic sets since it is closed under countable intersections; and if X is perfect (has no isolated point), then A ∈ F has uncountable intersections with any open ball in X.

Additional Information

© 1995 Annals of Mathematics. Received April 19, 1993. 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

Created:
August 20, 2023
Modified:
October 26, 2023