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Some remarks on the notion of contraction of lie group representations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cahen, Benjamin |
| Copyright Year | 2010 |
| Abstract | In the series of papers [1-4], L. Barker developed a general notion of convergence for sequences of Hilbert spaces and related objects (vectors, operators. . . ). In this paper, we remark that Barker's convergence for sequences of operators provides a notion of contraction of Lie group (unitary) representations and we compare it to the usual one introduced by J. Mickelsson and J. Niederle. This allows us to illustrate Barker's convergence of operators by various examples taken from contraction theory. |
| Starting Page | 35 |
| Ending Page | 46 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.5937/matmor1001035c |
| Volume Number | 14 |
| Alternate Webpage(s) | http://www.moravica.ftn.kg.ac.rs/Vol_14-1/04-Cahen.pdf |
| Alternate Webpage(s) | https://doi.org/10.5937/matmor1001035c |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |