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OALib Journal期刊
ISSN: 2333-9721
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Normal extensions of a singular multipoint differential operator of first order

Keywords: Multipoint differential operators , selfadjoint and normal extension , spectrum

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Abstract:

In this work, we describe all normal extensions of the minimal operator generated by linear singular multipoint formally normal differential expression $l=(l_1,l_2,l_3)$, $l_k=frac{d}{dt}+A_k$ with selfadjoint operator coefficients $A_k$ in a Hilbert space. This is done as a direct sum of Hilbert spaces of vector-functions $$ L_2(H,(-infty ,a_1))oplus L_2(H,(a_2,b_2)) oplus L_2(H,(a_3,+infty)) $$ where $-infty

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