The symmetric tensor product of a direct sum of locally convex spaces
Ansemil, José ; Floret, Klaus
Studia Mathematica, Tome 129 (1998), p. 285-295 / Harvested from The Polish Digital Mathematics Library
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An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for ⨂τ,sn(F1⨁F2) gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to its square E2.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216505 
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Ansemil, José; Floret, Klaus. The symmetric tensor product of a direct sum of locally convex spaces. Studia Mathematica, Tome 129 (1998) pp. 285-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv129i3p285bwm/

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