Opuscula Math. 30, no. 1 (2010), 79-94

Opuscula Mathematica

Hyponormal differential operators with discrete spectrum

Zameddin I. Ismailov
Erdal Unluyol

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.

Mathematics Subject Classification: 47A20.

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Cite this article as:
Zameddin I. Ismailov, Erdal Unluyol, Hyponormal differential operators with discrete spectrum, Opuscula Math. 30, no. 1 (2010), 79-94, http://dx.doi.org/10.7494/OpMath.2010.30.1.79

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