Abstract
In the introduced spectral decomposition notion instead of ordinary spectral measure used is the measure acquiring values in the space of positive (self-conjugated) operators. Then, using the (positivity-preserving) mappings of the operator-valued spectral measures, a theory of such processes linear filtration is constructed.
| Original language | English |
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| Pages (from-to) | 602-605 |
| Number of pages | 4 |
| Journal | Doklady Akademii Nauk |
| Volume | 397 |
| Issue number | 5 |
| Publication status | Published - 2004 |