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Opuscula Mathematica
Article . 2010 . Peer-reviewed
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Opuscula Mathematica
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Opuscula Mathematica
Article . 2010
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Hyponormal differential operators with discrete spectrum

Authors: Zameddin I. Ismailov; Erdal Unluyol;

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.

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Keywords

hyponormal operators, T57-57.97, Applied mathematics. Quantitative methods, differential operators, eigenvalues, asymptotes of eigenvalues, extension of operators, minimal and maximal operators, compact operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Published in a Diamond OA journal