We prove that the dimension of the space of energy finite bounded solutions of the Schrödinger operator is invariant under rough isometries between graphs of bounded degree. This result generalizes those of Soardi and of the present author.
Bibliographical noteFunding Information:
E-mail address: email@example.com (Y.H. Lee). 1This work was supported by Korea Research Foundation Grant (KRF-2001-003-D00008).
- Almost every path
- Extremal length
- Rough isometry