Korean Journal of Mathematics
- Volume 5 Issue 1
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- Pages.9-16
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- 1997
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
DILATION THEOREM OF OPERATORS WHICH HAVE COMMON NONCYCLIC VECTORS
- Kim, Han Soo (Department of Mathematics Kyungpook National University) ;
- Kim, Hae Gyu (Department of Mathematics Korea Naval Academy)
- Received : 1996.08.29
- Published : 1997.02.28
Abstract
In this paper, we construct new classes from the idea of [6, Theorem 2.1] and show that the property of operators belonging to the classes is inherited by certain dilations. And we also prove that the existence of common noncyclic vectors for certain families is equivalent to the existence of infinite dimensional common semi-invariant subspace of operators.