Simon, Barry (1995) Operators with Singular Continuous Spectrum: I. General Operators. Annals of Mathematics, 141 (1). pp. 131-145. ISSN 0003-486X. https://resolver.caltech.edu/CaltechAUTHORS:20170808-151736465
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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.
| Item Type: | Article | ||||||
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| 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. | ||||||
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| Issue or Number: | 1 | ||||||
| Record Number: | CaltechAUTHORS:20170808-151736465 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170808-151736465 | ||||||
| Official Citation: | Simon, Barry. “Operators with Singular Continuous Spectrum: I. General Operators.” Annals of Mathematics, vol. 141, no. 1, 1995, pp. 131–145. JSTOR, www.jstor.org/stable/2118629 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 79967 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 09 Aug 2017 18:19 | ||||||
| Last Modified: | 03 Oct 2019 18:26 |
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