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The symmetric tensor product of a direct sum of locally convex spaces

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M Ansemil J., Floret K.

Studia Mathematica

1998

tom 129

nr 3

285-295

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 $⨂^n_{τ,s} (F_1⨁ F_2)$ 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 $E^2$.

Ograniczanie wyników

1 Studia Mathematica

1 Floret K.

1 M Ansemil J.

1 1998

Wyniki wyszukiwania

The symmetric tensor product of a direct sum of locally convex spaces