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Translation and dilation invariant subspaces of L 2 ðRÞ
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gruyter, Walter De |
| Copyright Year | 2002 |
| Abstract | The closed subspaces of the Hilbert space L 2 ðRÞ which are invariant under multiplication by H y ðRÞ functions and the dilation operators f ðx Þ! f ðsxÞ, 1 < s < y, are determined as the two parameter family of subspaces L 2 ½� a; b� ,0 e a, b e y, 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://users.uoa.gr/~akatavol/katpow2.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
