Birinci Mertebeden Düzgün Katsayılı Maksimal Hiponormal Operatör Genişlemeleri

Bu çalışmada sonlu bir aralıkta tanımlı Hilbert uzay değerli fonksiyonlar uzayında tanımlı düzgün operatör katsayılı birinci mertebeden tüm maksimal hiponormal genişlemeleri verilmiştir. Bu genişlemeler sınır değerleri anlamındadır. Ayrıca maksimal hiponormal operatörlerin spektrum yapısı verilmiştir.

Anahtar Kelimeler:

Diferensiyel operatör, Genişleme, Hiponormal operatör, Minimal ve maksimal operatörler, Spektrum

Maximal Hyponormal Operator Extensions of First-order with Smooth Coefficients

In this study, it is given all maximal hyponormal extensions of first-order with smooth operator coefficients in Hilbert valued function space on a finite interval. These extention is by means of boundary values.Also, the structure of the spectrum of the maximal hyponormal extensions is investigated.

Keywords:

Differential operator, Extension, Hyponormal operator, Minimal and maximal operators, Spectrum,

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