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2006•Journal of MathematicsRequires access

R_T-CLASS OPERATORS AND COMPONENTS OF THE RIGHT ESSENTIAL SPECTRUM

SU Wei-gang

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Abstract

This paper studies the intersection relations of the right essential spectrum of two quasisimilar operators.By introducing the concept of the R_ T-class operators, applying the elaborate structure of the spectrum of operators, we obtain a sufficient and necessary condition under which each component of the right essential spectrum of an operator intersects the right essential spectrum of the other quasisimilar operator.

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What this paper is about

This paper studies the intersection relations of the right essential spectrum of two quasisimilar operators.By introducing the concept of the R_ T-class operators, applying the elaborate structure of the spectrum of operators, we obtain a sufficient and necessary condition under which each component of the right essential spectrum of an operator intersects the right essential spectrum of the other quasisimilar operator.

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Available abstract

This paper studies the intersection relations of the right essential spectrum of two quasisimilar operators.By introducing the concept of the R_ T-class operators, applying the elaborate structure of the spectrum of operators, we obtain a sufficient and necessary condition under which each component of the right essential spectrum of an operator intersects the right essential spectrum of the other quasisimilar operator.

Key concepts: Mathematics, Spectrum (functional analysis), Essential spectrum, Operator (biology), Class (philosophy), Intersection (aeronautics), Component (thermodynamics), Algebra over a field

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