A simplicity criterion for symmetric operator on a graph

Authors

  • A. N. Kandagura Tavrida National V. I. Vernadsky University, 4 Academician Vernadsky Ave., Simferopol, 95007, Ukraine
  • E. N. Ashurova Tavrida National V. I. Vernadsky University, 4 Academician Vernadsky Ave., Simferopol, 95007, Ukraine
  • I. I. Karpenko Tavrida National V. I. Vernadsky University, 4 Academician Vernadsky Ave., Simferopol, 95007, Ukraine 

DOI:

Keywords:

Laplace operator, quantum graph, symmetric operator, deficiency indices

Abstract

In the present paper we show that the topology of the underlying graph determines the domain and deficiency indices of a certain associated minimal symmetric operator. We obtaine a criterion of simplicity for the minimal operator associated with the graph.

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Published

2014-06-25

Issue

Vol. 20 No. 2 (2014)

Section

Articles

How to Cite

Kandagura, A. N., et al. “A Simplicity Criterion for Symmetric Operator on a Graph”. Methods of Functional Analysis and Topology, vol. 20, no. 2, June 2014, pp. 117-23, https://zen.imath.kiev.ua/index.php/mfat/article/view/572.