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