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Some
nonhypertransitive operators
Il Bong Jung, Eungil Ko and Carl Pearcy |
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Vol. 220 (2005), No. 2, 329–340
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Abstract |
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An operator on Hilbert space is called hypertransitive if the orbit of every nonzero vector is dense. Here we determine some new classes of nonhypertransitive operators. |
Keywords
invariant subspace, transitive operator, hypertransitive
operator
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Mathematical Subject Classification 2000
Primary: 47A15
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Milestones
Received: 24 September 2003
Revised: 10 April 2004
Accepted: 10 April 2004
Published: 1 June 2005
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Authors |
| Il Bong Jung | |
| Department of Mathematics Kyungpook National University Taegu, 702-701 Korea |
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| Eungil Ko | |
| Department of Mathematics Ewha Women’s University Seoul 120-750 Korea |
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| Carl Pearcy | |
| Department of Mathematics Texas A&M University College Station, TX 77843 United States |
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