- Tytuł:
- The symmetric tensor product of a direct sum of locally convex spaces
- Autorzy:
-
M Ansemil, José
Floret, Klaus - Powiązania:
- https://bibliotekanauki.pl/articles/1218462.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
symmetric tensor products
continuous n-homogeneous polynomials
tensor topologies - Opis:
- 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 $E^2$.
- Źródło:
-
Studia Mathematica; 1998, 129, 3; 285-295
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł