Weakly closed Jordan ideals in nest algebras on Banach spaces |
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Authors: | Juan Li Fangyan Lu |
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Institution: | (1) Suzhou University, Suzhou, People’s Republic of China |
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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). |
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Keywords: | 2000 Mathematics Subject Classification: 47L35 17B40 17C65 |
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