[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.4.609

ROUGH ISOMETRY AND THE SPACE OF BOUNDED ENERGY FINITE SOLUTIONS OF THE SCHRODINGER OPERATOR ON GRAPHS

Kim, Seok-Woo (DEPARTMENT OF MATHEMATICS EDUCATION KONKUK UNIVERSITY)
Lee, Yong-Hah (DEPARTMENT OF MATHEMATICS EDUCATION EWHA WOMANS UNIVERSITY)
Yoon, Joung-Hahn (DEPARTMENT OF MATHEMATICS DONGA UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.4, 2010 , pp. 609-614 More about this Journal

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 Schr $\ddot{o}$ dinger 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; $Schr\ddot{o}dinger$ operator; bounded energy finite solution; rough isometry;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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