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2006•Acta Analysis Functionalis ApplicataRequires access

Components of Kato Essential Spectrum and Browder Essential Spectrum of Operators

SU Wei-gang

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Abstract

Applying the elaborate structure of the spectrum of operators, for two quasisimilar operators S and T, this paper gives some sufficient and necessary conditions under which a component of Kato Essential Spectrum σ_K(S) intersects with σ_K(T), and proves that each component of Browder Essential Spectrum σ_B(S) intersects with some subsets of σ_K(T).

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What this paper is about

Applying the elaborate structure of the spectrum of operators, for two quasisimilar operators S and T, this paper gives some sufficient and necessary conditions under which a component of Kato Essential Spectrum σ_K(S) intersects with σ_K(T), and proves that each component of Browder Essential Spectrum σ_B(S) intersects with some subsets of σ_K(T).

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Available abstract

Applying the elaborate structure of the spectrum of operators, for two quasisimilar operators S and T, this paper gives some sufficient and necessary conditions under which a component of Kato Essential Spectrum σ_K(S) intersects with σ_K(T), and proves that each component of Browder Essential Spectrum σ_B(S) intersects with some subsets of σ_K(T).

Key concepts: Essential spectrum, Spectrum (functional analysis), Mathematics, Component (thermodynamics), Pure mathematics, Combinatorics, Physics, Thermodynamics

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