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ROUGH ISOMETRY AND THE SPACE OF BOUNDED ENERGY FINITE SOLUTIONS OF THE SCHRODINGER OPERATOR ON GRAPHS
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 Title & Authors
ROUGH ISOMETRY AND THE SPACE OF BOUNDED ENERGY FINITE SOLUTIONS OF THE SCHRODINGER OPERATOR ON GRAPHS
Kim, Seok-Woo; Lee, Yong-Hah; Yoon, Joung-Hahn;
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 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 Schrdinger operator on the graphs are isomorphic to each other. This is a direct generalization of the results of Soardi [5] and of Lee [3].
 Keywords
infinite graph; operator;bounded energy finite solution;rough isometry;
 Language
English
 Cited by
 References
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