[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2006.21.1.053

ON PREHERMITIAN OPERATORS

YOO JONG-KWANG (Department of Liberal Arts and Science Chodang University)
HAN HYUK (Department of Mathematics Seonam University)

Publication Information

Communications of the Korean Mathematical Society / v.21, no.1, 2006 , pp. 53-64 More about this Journal

Abstract

In this paper, we are concerned with the algebraic representation of the quasi-nilpotent part for prehermitian operators on Banach spaces. The quasi-nilpotent part of an operator plays a significant role in the spectral theory and Fredholm theory of operators on Banach spaces. Properties of the quasi-nilpotent part are investigated and an application is given to totally paranormal and prehermitian operators.

Keywords

algebraic spectral subspace; analytic spectral subspace; local spectral radius; normal-equivalent and prehermitian operator;

Citations & Related Records

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