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| Theory of Spectral Decompositions with Respect to the Identity for Closed Operators |
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Citation： |
Wang Shengwang.Theory of Spectral Decompositions with Respect to the Identity for Closed Operators[J].Chinese Annals of Mathematics B,1985,6(3):269~280 |
| Page view： 823
Net amount： 818 |
Authors： |
Wang Shengwang; |
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| Abstract： |
In this paper, the author discusses some properties of closed operators acting on a Banach space with the spectral decomposition property with respect to the identity (abbrev.SDI). First, some equivalent conditions are given for a closed operator T to have the SDI. Next, for every hyperinvariant subspace Y of T with the SDI, it is proved that the coinduced operator [\tilde T]=T/Y has the SDI. Finally, properties of maximal nets of hyperinvariant subspaces are discussed. |
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