East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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CONDITIONS IMPLYING NORMALITY

  • Kim, An-Hyun (Department of Mathematics Changwon National University)
  • Published : 2000.06.25
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Abstract

In this paper we find some classes of operators implying normaity. The main result is as follows. If T is restriction-convexoid and is reduced by each of its eigenspaces corresponding to isolated eigenvalues, which is a class including hyponormal operators, and if $\sigma$(T) is countable then T is diagonal and normal.

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