충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제16권1호
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- Pages.37-48
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- 2003
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
CONTINUITY OF LINEAR OPERATOR INTERTWINING WITH DECOMPOSABLE OPERATORS AND PURE HYPONORMAL OPERATORS
- Park, Sung-Wook (Department of Applied Mathematics Kumoh National University of Technology) ;
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Han, Hyuk
(Department of Mathematics Seonam University) ;
- Park, Se Won (Department of Mathematics Seonam University)
- 투고 : 2003.05.06
- 발행 : 2003.06.30
초록
In this paper, we show that for a pure hyponormal operator the analytic spectral subspace and the algebraic spectral subspace are coincide. Using this result, we have the following result: Let T be a decomposable operator on a Banach space X and let S be a pure hyponormal operator on a Hilbert space H. Then every linear operator