대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제21권1호
  • /
  • Pages.53-64
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  • 2006
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON PREHERMITIAN OPERATORS

  • YOO JONG-KWANG (Department of Liberal Arts and Science Chodang University) ;
  • HAN HYUK (Department of Mathematics Seonam University)
  • 발행 : 2006.01.01
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초록

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.

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참고문헌

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