[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2020.261

LOCAL SPECTRAL THEORY

YOO, JONG-KWANG (Department of Flight Operation, Chodang University)

Publication Information

Journal of applied mathematics & informatics / v.38, no.3_4, 2020 , pp. 261-269 More about this Journal

Abstract

For any Banach spaces X and Y, let L(X, Y) denote the set of all bounded linear operators from X to Y. Let A ∈ L(X, Y) and B, C ∈ L(Y, X) satisfying operator equation ABA = ACA. In this paper, we prove that AC and BA share the local spectral properties such as a finite ascent, a finite descent, property (K), localizable spectrum and invariant subspace.

Keywords

Finite ascent; finite descent; local spectrum; localizable spectrum; property (K); SVEP;

Citations & Related Records

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