Zameddin I. Ismailov, Rukiye Ozturk Mert
Abstract:
In this work, we describe all normal extensions of the minimal
operator generated by linear singular multipoint formally normal differential
expression
,
with selfadjoint operator
coefficients
in a Hilbert space.
This is done as a direct sum of Hilbert spaces of vector-functions
where
.
Also, we study the structure of the spectrum of these extensions.
Submitted August 10, 2011. Published Match 7, 2012.
Math Subject Classifications: 47A10, 47A20.
Key Words: Multipoint differential operators; selfadjoint and normal extension;
spectrum.
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Zameddin I. Ismailov Department of Mathematics, Faculty of Sciences Karadeniz Technical University 61080, Trabzon, Turkey email: zameddin@yahoo.com | |
Rukiye Öztürk Mert Department of Mathematics, Art and Science Faculty Hitit University 19030, Corum, Turkey email: rukiyeozturkmert@hitit.edu.tr |
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