| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621916 | Journal of Mathematical Analysis and Applications | 2008 | 10 Pages |
Abstract
We study decompositions of operator measures and more general sesquilinear form measures E into linear combinations of positive parts, and their diagonal vector expansions. The underlying philosophy is to represent E as a trace class valued measure of bounded variation on a new Hilbert space related to E. The choice of the auxiliary Hilbert space fixes a unique decomposition with certain properties, but this choice itself is not canonical. We present relations to Naimark type dilations and direct integrals.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
