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- operación definida entre dos espacios vectoriales topológicos (es)
- tensor product defined on two topological vector spaces (en)
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- Let and be metrizable locally convex TVSs and let Then is the sum of an absolutely convergent series
where and and are null sequences in and respectively. (en)
- Let and be Fréchet spaces and let be a balanced open neighborhood of the origin in . Let be a compact subset of the convex balanced hull of There exists a compact subset of the unit ball in and sequences and contained in and respectively, converging to the origin such that for every there exists some such that (en)
- Let and be locally convex topological vector spaces with nuclear. Assume that both and are Fréchet spaces, or else that they are both DF-spaces. Then, denoting strong dual spaces with a subscripted :
# The strong dual of can be identified with ;
# The bidual of can be identified with ;
# If is reflexive then is a reflexive space;
# Every separately continuous bilinear form on is continuous;
# Let be the space of bounded linear maps from to . Then, its strong dual can be identified with so in particular if is reflexive then so is (en)
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- Projective tensor product (en)
- Projektives Tensorprodukt (de)
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