On local spectral properties of complex symmetric operators |
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| Authors: | S. Jung |
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| Affiliation: | a Department of Mathematics, Ewha Women?s University, Seoul 120-750, Republic of Korea
b Institute of Mathematical Sciences, Ewha Women?s University, Seoul 120-750, Republic of Korea |
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| Abstract: | In this paper we study properties of complex symmetric operators. In particular, we prove that every complex symmetric operator having property (β) or (δ) is decomposable. Moreover, we show that complex symmetric operator T has Dunford?s property (C) and it satisfies Weyl?s theorem if and only if its adjoint does. |
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| Keywords: | Complex symmetric operator Dunford?s property (C) Property (β) Decomposable Invariant subspaces Weyl?s theorem |
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