Normal extensions of a singular differential operator on the right semi-axis


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Authors

  • Zameddin I. Ismailov
  • Rukiye Öztürk Mert

Keywords:

Everitt-Zettl and Calkin-Gorbachuk methods, singular differential operators, normal extension, spectrum

Abstract

In this work, based on the method of Everitt-Zettl and using the Calkin-Gorbachuk method, all normal extensions of the minimal operator generated by a linear singular formally normal differential-operator expression of the first order in Hilbert spaces of vector-functions on the right semi-axis in terms of boundary values are described. Furthermore, the structure of the spectrum of these extensions is investigated.

Published

2014-09-30

How to Cite

Ismailov, Z. I., & Öztürk Mert, R. (2014). Normal extensions of a singular differential operator on the right semi-axis. Eurasian Mathematical Journal, 5(3), 117–124. Retrieved from https://emj.enu.kz/index.php/main/article/view/582

Issue

Vol. 5 No. 3 (2014)

Section

Articles