Abstract
Spectral properties of analytic families of compact operators on a Hilbert space are studied. The results obtained are then used to establish that an analytic family of self-adjoint compact operators on a Hilbert, space must be functionally commutative.
| Original language | English |
|---|---|
| Pages (from-to) | 9-12 |
| Number of pages | 4 |
| Journal | Communications in Advanced Mathematical Sciences |
| Volume | III |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2020 |
Keywords
- Compact operator, spectral decomposition,, analytic projection, analytic eigenvalue, functional commutativity, analytic operator-valued function.