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Tensor Products of Hilbert Modules Over Locally |
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| Authors: | Maria Joiţa |
| Affiliation: | (1) Department of Mathematics, Faculty of Chemistry, University of Bucharest, Bd. Regina Elisabeta Nr. 4–12, Bucharest, Romania |
| Abstract: | In this paper the tensor products of Hilbert modules over locally C*-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert C*-modules are also valid in the context of Hilbert modules over locally C*-algebras. |
| Keywords: | locally C*-algebras continuous *-morphism inverse system of Hilbert C*-modules exterior tensor product of Hilbert modules interior tensor product of Hilbert modules |
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