Spectrum Properties of Self-Adjoint Operator
Arta Ekayanti (a*), Ch. Rini Indrati (b)
a) Teacher Training and Education Faculty, Universitas Muhammadiyah Ponorogo, Indonesia
*arta_ekayanti[at]ymail.com
b) Department of Mathematics, Universitas Gadjah Mada
Abstract
In this paper, we discuss about spectrum properties of self-adjoint operator. Relation between self-adjoint operator and normal operator is used to show that the spectrum of self-adjoint operator is subset of real numbers set. Furthermore, by using norm properties of bounded-linear operator and real polynomial we derived the relation between spectrum and norm of operator polynomial.
Keywords: spectrum, self-adjoint operator, normal operator
Topic: Mathematics