The Trace Formula for a Differential Operator of Fourth Order With Bounded Operator Coefficients and Two Terms

Authors: ERDAL GÜL

Abstract: L Yıldız Teknik Üniversitesi Fen-Edebiyat Fakültesi Matematik Bölümü Davutpaşa Kampüsü İstanbul-TURKEY e-mail: gul@yildiz.edu.tr We investigate the spectrum of a differential operator of fourth order with bounded operator coefficients and find a formula for the trace of this operator.

Keywords: Hilbert Space, Self-adjoint operator, Kernel operator, Spectrum, Essential spectrum, Resolvent

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