Geodesic
On the theory of infinite-dimensional superspace: reflexive Banach supermodules
Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 331-350

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A study is made of reflexive Banach supermodules of sequences of elements of a supercommutative Banach superalgebra. The theory of Hilbert supermodules, introduced as isomorphic to the supermodule $l_2(\Lambda)$, is of greatest interest for applications. An analogue of the Riesz theorem on representation of a continuous $\Lambda$-linear functional is proved for Hilbert supermodules. 
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     author = {A. Yu. Khrennikov},
     title = {On the theory of infinite-dimensional superspace: reflexive {Banach} supermodules},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1994_77_2_a5/}
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A. Yu. Khrennikov. On the theory of infinite-dimensional superspace: reflexive Banach supermodules. Sbornik. Mathematics, Tome 77 (1994) no. 2, pp. 331-350. http://geodesic.mathdoc.fr/item/SM_1994_77_2_a5/