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.
|Number of pages||4|
|Journal||Doklady Akademii Nauk|
|Publication status||Published - 2004|