Katavolos, A. and Power, S. C. (2002) Translation and dilation invariant subspaces of L2 (R). Journal fur die reine und angewandte Mathematik (Crelle's Journal), 2002 (552). pp. 101-129.
Full text not available from this repository.Abstract
The closed subspaces of the Hilbert space L2ðRÞ which are invariant under multiplication by HyðRÞ functions and the dilation operators f ðxÞ ! f ðsxÞ, 1 < s < y, are determined as the two parameter family of subspaces L2½a; b, 0ea, bey, which are reducing for multiplication operators, together with a four parameter family of nonreducing subspaces. The lattice and topological structure are determined and using operator algebra methods the corresponding family of orthogonal projections, with the weak operator topology, is identified as a compact connected 4-manifold.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Journal fur die reine und angewandte Mathematik (Crelle's Journal) |
| Additional Information: | RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 2384 |
| Deposited By: | ep_importer |
| Deposited On: | 01 Apr 2008 12:19 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 16:13 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/2384 |
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