Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Published : 2010.01.30
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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

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