Abstract
We prove that if graphs of bounded degree are roughly isometric to each other, then the spaces of bounded energy finite solutions of the Schrödinger operator on the graphs are isomorphic to each other. This is a direct generalization of the results of Soardi [5] and of Lee [3].
| Original language | English |
|---|---|
| Pages (from-to) | 609-614 |
| Number of pages | 6 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 25 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2010 |
Keywords
- Bounded energy finite solution
- Infinite graph
- Rough isometry
- Schrödinger operator