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Topological Properties of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ayoola, E. O. |
| Copyright Year | 2008 |
| Abstract | Abstract We establish a continuous mapping of the space of the matrix elements of an arbitrary nonempty set of quasi solutions of Lipschitzian quantum stochastic differential inclusion (QSDI) into the space of the matrix elements of its solutions. As a corollary, we furnish a generalization of a previous selection result. In particular, when the coefficients of the inclusion are integrably bounded, we show that the space of the matrix elements of solutions is an absolute retract, contractible, locally and integrally connected in an arbitrary dimension. |
| Starting Page | 15 |
| Ending Page | 37 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10440-007-9175-1 |
| Volume Number | 100 |
| Alternate Webpage(s) | http://users.ictp.it/~pub_off/preprints-sources/2006/IC2006112P.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10440-007-9175-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |