Multipoint normal differential operators of first order

• Autorzy: Ismailov Z. I.
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss all normal extensions of a minimal operator generated by a linear multipoint differential-operator expression of first order in the Hilbert space of vector-functions on the finite interval in terms of boundary and interior point values. Later on, we investigate the structure of the spectrum, its discreteness and the asymptotic behavior of the eigenvalues at infinity for these extensions.

Słowa kluczowe

EN

differential operator; formally normal and normal operator; multipoint minimal and maximal operators; extension; selfadjoint; accretive and unitary operators; class of compact operators; spectrum of operators and its discreteness; asymptotics of eigenvalues; direct sum of spaces and operators

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 4
• Strony: 399--414
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Ismailov Z. I.

• Karadeniz Technical University Department of Mathematics, Faculty of Arts and Sciences 61080 Trabzon, Turkey,

Bibliografia

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