Abstract
Let H-0 and H be self-adjoint operators in a Hilbert space. In the scattering theory framework, we describe the essential spectrum of the difference phi(H) - phi(H-0) for piecewise continuous functions phi. This description involves the scattering matrix for the pair H, H-0.
| Original language | English |
|---|---|
| Pages (from-to) | 75 - 99 |
| Number of pages | 25 |
| Journal | INTEGRAL EQUATIONS AND OPERATOR THEORY |
| Volume | 68 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |