Projective tensor product

id: projective-tensor-product-316-11073622
title: Projective tensor product
text: In functional analysis, an area of mathematics, the projective tensor product of two locally convex topological vector spaces is a natural topological vector space structure on their tensor product. Namely, given locally convex topological vector spaces X and Y , the projective topology, or π-topology, on X ⊗ Y is the strongest topology which makes X ⊗ Y a locally convex topological vector space such that the canonical map ↦ x ⊗ y is continuous. When equipped with this topology, X ⊗ Y is denoted
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original url: https://en.wikipedia.org/wiki/Projective_tensor_product
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date modified: 2024-02-27T18:33:28Z
main entity: {"identifier":"Q89672221","url":"https://www.wikidata.org/entity/Q89672221"}
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