Normal Extensions of a Singular Multipoint Differential Operator for First Order

2011/05/11 by Zameddin I. İsmailov, Z. I. Ismailov, Ismailov, Z. I. +3
Computer Science · Mathematics · #47A10 #47A20 #Advanced Mathematical Modeling in Engineering #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:47A10 #msc:47A20

paper · pdf · doi:10.48550/arxiv.1105.2166

9 pages

arxiv created 2011/05/11 · openalex publication_date 2011/05/11 · arxiv updated 2011/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, firstly in the direct sum of Hilbert spaces of vector-functions L² (H,(-∞,a₁)) ⊕ L² (H,(a₂,b₂))⊕² (H,(a₃,+∞)), - ∞<a₁<a₂<b₂<a₃<+∞ all normal extensions of the minimal operator generated by linear singular multipoint formally normal differential expression l=(l₁,l₂,l₃),l_k = (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.

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