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Tensor products of  -weakly closed nest algebra submodules |
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| Authors: | Dong Zhe |
| Affiliation: | Department of Mathematics, Zhejiang University, Hangzhou, 310027, People's Republic of China |
| Abstract: | In this paper we prove that for any unital  -weakly closed algebra  which is  -weakly generated by finite-rank operators in  , every  -weakly closed  -submodule has  . In the case of nest algebras, if  are nests, we obtain the following  -fold tensor product formula:  where each  is the  -weakly closed Alg  -submodule determined by an order homomorphism  from  into itself. |
| Keywords: | $Property S_{sigma}$, tensor product, slice map |
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