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2020•Journal of Physics Conference SeriesOpen access

Spectrum properties of self-adjoint operator

Arta Ekayanti, Ch. Rini Indrati

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Abstract

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 ∝. Furthermore, by using norm properties of bounded-linear operator and real polynomial we derived the relation between spectrum and norm of operator polynomial.

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What this paper is about

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 ∝. Furthermore, by using norm properties of bounded-linear operator and real polynomial we derived the relation between spectrum and norm of operator polynomial.

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Available abstract

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 ∝. Furthermore, by using norm properties of bounded-linear operator and real polynomial we derived the relation between spectrum and norm of operator polynomial.

Key concepts: Quasinormal operator, Mathematics, Spectrum (functional analysis), Operator norm, Operator (biology), Finite-rank operator, Self-adjoint operator, Hermitian adjoint

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