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Tensor products of Hilbert modules over locally $C^*$-algebras
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 727-737
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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.
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.
Classification : 46A13, 46L08, 46M05
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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     title = {Tensor products of {Hilbert} modules over locally $C^*$-algebras},
     journal = {Czechoslovak Mathematical Journal},
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     volume = {54},
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     zbl = {1080.46523},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a14/}
}
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Joiţa, Maria. Tensor products of Hilbert modules over locally $C^*$-algebras. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 727-737. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a14/

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