TY  - JOUR
ID  - Ismailov2009
LB  - Ismailov2009
AU  - Ismailov, Zameddin I.
TI  - Multipoint normal differential operators of first order
ST  - Multipoint normal differential operators of first order
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2009
VL  - 29
IS  - 4
SP  - 399
EP  - 414
DO  - http://dx.doi.org/10.7494/OpMath.2009.29.4.399
UR  - http://dx.doi.org/10.7494/OpMath.2009.29.4.399
AB  - In this paper we discuss all normal extensions of a minimal operator generated by a linear multipoint differential-operator expression of first order in the Hilbert space of vector-functions on the finite interval in terms of boundary and interior point values. Later on, we investigate the structure of the spectrum, its discreteness and the asymptotic behavior of the eigenvalues at infinity for these extensions.
KW  - differential operator
KW  - formally normal and normal operator
KW  - multipoint minimal and maximal operators
KW  - extension
KW  - selfadjoint
KW  - accretive and unitary operators
KW  - class of compact operators
KW  - spectrum of an operators and its discreteness
KW  - asymptotics of eigenvalues
KW  - direct sum of spaces and operators
SN  - 1232-9274
ER  -