TY - JOUR ID - Ismailov2010 LB - Ismailov2010 AU - Ismailov, Zameddin I. AU - Unluyol, Erdal TI - Hyponormal differential operators with discrete spectrum ST - Hyponormal differential operators with discrete spectrum JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 1 SP - 79 EP - 94 DO - http://dx.doi.org/10.7494/OpMath.2010.30.1.79 UR - http://dx.doi.org/10.7494/OpMath.2010.30.1.79 AB - In this work, we first describe all the maximal hyponormal extensions of a minimal operator generated by a linear differential-operator expression of the first-order in the Hilbert space of vector-functions in a finite interval. Next, we investigate the discreteness of the spectrum and the asymptotical behavior of the modules of the eigenvalues for these maximal hyponormal extensions. KW - hyponormal operators KW - differential operators KW - minimal and maximal operators KW - extension of operators KW - compact operators KW - eigenvalues KW - asymptotes of eigenvalues SN - 1232-9274 ER -