Opuscula Mathematica
Opuscula Math. 30, no. 1 (), 79-94
http://dx.doi.org/10.7494/OpMath.2010.30.1.79
Opuscula Mathematica

Hyponormal differential operators with discrete spectrum



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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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