Korean J. Math. Vol. 19 No. 1 (2011) pp.61-64
DOI: https://doi.org/10.11568/kjm.2011.19.1.061

A STUDY ON OPERATORS SATISFYING |T^2| ≥ |T^*|^2

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Published: Mar 30, 2011

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Jae Won Lee
In Ho Jeon

Abstract

Let A* denotes the class of operators satisfying |T^2| ≥ |T*|^2. In this paper, we show if the restriction to a non-trivial invariant subspace M of an operator T ∈ A* is normal, then M reduces T.



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