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Invariant subspaces for sequentially subdecomposable operators

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Abstract

In this paper, using Brown technique, we prove the Mohebi-Radjabalipour Conjecture by strengthening a slight thickness condition of the spectrum, and obtain some invariant subspace theorems. Our result contains an important known invariant subspace theorem as special cases.

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Authors and Affiliations

  1. Institute of Mathematics, Changsha University, 410003, Changsha, China

    Mingxue Liu

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  1. Mingxue Liu
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Liu, M. Invariant subspaces for sequentially subdecomposable operators. Sci. China Ser. A-Math. 46, 433–439 (2003). https://doi.org/10.1007/BF02884015

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  • DOI: https://doi.org/10.1007/BF02884015

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