Gallardo-Geutiérrez Eva A. and Partington Jonathan R. and Rodríguez Daniel J.: An extension of a theorem of Domar on invariant subspaces. In: Acta scientiarum mathematicarum, (83) 1-2. pp. 271-290. (2017)
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Abstract
A remarkable theorem of Domar asserts that the lattice of the invariant subspaces of the right shift semigroup {ST}r>o in L2 (R+, w(t)dt) consists of just the "standard invariant subspaces" whenever in is a positive continuous function in R+ such that (1) login is concave in [c, oo) for some c > 0, (2) lim^oo - l o E 4 ) = oo, and lim ^ = oo. We prove an extension of Domar's Theorem to a strictly wider class of weights w, answering a question posed by Domar in [6].
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2017 |
| Volume: | 83 |
| Number: | 1-2 |
| ISSN: | 0001 6969 |
| Page Range: | pp. 271-290 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Official URL: | http://www.acta.hu |
| Related URLs: | http://acta.bibl.u-szeged.hu/48269/ |
| DOI: | 10.14232/actasm-015-837-7 |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 289-290. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2017. Jul. 11. 12:16 |
| Last Modified: | 2026. Feb. 24. 08:10 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/48930 |
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