Normal Extensions of an Singular Differential Operator for First Order

2011/05/26 by Elgiz Bairamov, E. Bairamov, Rukiye Öztürk Mert +6
Computer Science · Mathematics · #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA #msc:47A10

paper · pdf · doi:10.48550/arxiv.1105.5288

8 pages

arxiv created 2011/05/26 · arxiv updated 2011/05/27

Abstract

In this work, in the Hilbert space of vector-functions L² (H,(-∞,a)∪(b,+∞)),a<b all normal extensions of the minimal operator generated by linear singular formally normal differential expression l(⋅)=(d/dt+A₁,d/dt+A₂) with a selfadjoint operator coefficients A₁ andA₂ 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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