English

Selfadjoint Extensions of a Singular Multipoint Differential Operator for First Order

Functional Analysis 2011-05-09 v1

Abstract

In this work, firstly in the direct sum of Hilbert spaces of vector-functions L^2 (H,(-{\infty},a_1)){\Box}L^2 (H,(a_2,b_2)){\Box}L^2 (H,(a_3,+{\infty})),- {\infty}<a_1<a_2<b_2<a_3<+{\infty} all selfadjoint extensions of the minimal operator generated by linear singular multipoint symmetric differential expression l=(l_1,l_2,l_3),l_k=i d/dt+A_k with a selfadjoint operator coefficient A_k k=1,2,3 in any Hilbert space H, are described in terms of boundary values. Later structure of the spectrum of these extensions is investigated.

Keywords

Cite

@article{arxiv.1105.1240,
  title  = {Selfadjoint Extensions of a Singular Multipoint Differential Operator for First Order},
  author = {Zameddin I. Ismailov and Rukiye Ozturk Mert},
  journal= {arXiv preprint arXiv:1105.1240},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T18:03:39.051Z