Degenerate maximal hyponormal differential operators for the first order

Authors: MELTEM SERTBAŞ, FATİH YILMAZ

Abstract: In this study, all maximal hyponormal extensions are given for the degenerate first order in the Hilbert space of vector-functions on a finite interval. The extensions are defined in terms of the boundary values. The structure of the spectrum of the maximal hyponormal extensions is also investigated.

Keywords: Degenerate differential operator, formally hyponormal and hyponormal operator, minimal and maximal operators, extension, spectrum of an operator

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