Opuscula Math. 30, no. 1 (2010), 79-94
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.
About the authors ▼
Zameddin I. Ismailov
Karadeniz Technical University, Department of Mathematics, Faculty of Arts and Sciences 61080 Trabzon, Turkey
Erdal Unluyol
Karadeniz Technical University, Department of Mathematics, Faculty of Arts and Sciences 61080 Trabzon, Turkey
About the article ▼
Received: 2009-07-07.
Revised: 2009-09-23.
Accepted: 2009-10-23.
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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