The Regularized Trace of Two Terms Differential Operator in the Space H1 = L2 (0,𝝅;𝑯).

Year 2019, Volume: 9 Issue: 3, 1594 - 1605, 01.09.2019

Özlem Bakşi

Abstract

The main purpose of this present paper is to derive a trace formula for a selfadjoint differential operator which is defined in Hilbert space.

Keywords

Hilbert Space, Eigenvalue, Spectrum, Trace-class Operator, Resolvent Operator

H1 = L2 (0,π;H) Uzayında İki Terimli Diferansiyel Operatörün Düzenli İzi

Abstract

Mevcut çalışmanın esas amacı Hilbert uzayında tanımlanmış bir kendine-eş diferansiyel operatör için bir iz formülü çıkarmaktır.

Keywords

Hilbert Uzayı, Özdeğer, Spektrum, İz-sınıfı Operatör, Rezolvent Operatör

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