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A note on tensor products of reflexive algebras

Published online by Cambridge University Press:  17 April 2009

Zhe Dong
Zhe Dong
Affiliation:
Institute of Mathematics, Fudan University, Shanghai 200433, People's Republic of China, e-mail: [email protected]
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Abstract

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In this short note, we obtain a concrete description of rank-one operators in Alg(ℒ1 ⊗…⊗ ℒn). Based on this characterisation, we give a simple proof of the tensor product formula: if Alg(ℒ1 ⊗…⊗ ℒn) is weakly generated by rank-one operators in itself and ℒi(i = 1,…,n) are subspace lattices.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 25 - 31
Copyright
Copyright © Australian Mathematical Society 2002

References

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