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.
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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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Li, J., Lu, F. Weakly closed Jordan ideals in nest algebras on Banach spaces. Monatsh Math 156, 73–83 (2009). https://doi.org/10.1007/s00605-008-0560-2
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DOI: https://doi.org/10.1007/s00605-008-0560-2