[KSCI] Korea Science Citation Index Service

LOCAL SPECTRAL PROPERTIES OF SEMI-SHIFTS

Yoo, Jong-Kwang (Department of Liberal Arts and Science, Chodang University)
Kim, Yong-Il (Department of Internet Software, Honam University)

Publication Information

Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 499-507 More about this Journal

Abstract

In this note, we study the local spectral properties of semi-shifts. If $T\;{\in}\;L(X)$ is a semi-shift on a complex Banach space X, then T is admissible. We also prove that if $T\;{\in}\;L(X)$ is subadmissible, then $X_T(F)\;=\;E_T(F)$ for all closed $F\;{\subseteq}\;\mathbb{C}$ . In particular, every subscalar operator on a Banach space is admissible.

Keywords

Local spectrum; Algebraic spectral subspace; Analytic spectral subspace; Semi-shifts; Bishop's property ( $\beta$ );

Citations & Related Records

Reference

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