Normal Extensions of an Singular Differential Operator for First Order
Functional Analysis
2011-05-27 v1
Abstract
In this work, in the Hilbert space of vector-functions L^2 (H,(-\infty,a)\cup(b,+\infty)),a<b all normal extensions of the minimal operator generated by linear singular formally normal differential expression l(\cdot)=(d/dt+A_1,d/dt+A_2) with a selfadjoint operator coefficients A_1 andA_2 in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.
Cite
@article{arxiv.1105.5288,
title = {Normal Extensions of an Singular Differential Operator for First Order},
author = {E. Bairamov and R. O. Mert and Z. I. Ismailov},
journal= {arXiv preprint arXiv:1105.5288},
year = {2011}
}
Comments
8 pages