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Weakly closed Jordan ideals in nest algebras on Banach spaces
Authors:Juan Li  Fangyan Lu
Institution:(1) Suzhou University, Suzhou, People’s Republic of China
Abstract:We show that weakly closed Jordan ideals in nest algebras on Banach spaces are associative ideals. The decomposability of finite-rank operators in Jordan ideals and the commutants of bimodules are also investigated. Author’s address: J. Li and F. Lu, Department of Mathematics, Suzhou University, Suzhou 215006, People’s Republic of China This research was supported by NNSFC (No. 10771154) and PNSFJ (NO. BK2007049).
Keywords:2000 Mathematics Subject Classification: 47L35  17B40  17C65
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