@Article{Ismailov2010, author = "Ismailov, Zameddin I. and Unluyol, Erdal", title = "Hyponormal differential operators with discrete spectrum", journal = "Opuscula Math.", year = "2010", volume = "30", number = "1", pages = "79--94", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.1.79", url = "http://dx.doi.org/10.7494/OpMath.2010.30.1.79", abstract = "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.", keywords = "hyponormal operators, differential operators, minimal and maximal operators, extension of operators, compact operators, eigenvalues, asymptotes of eigenvalues", issn = "1232-9274" }