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searching for Category of topological vector spaces 6 found (11 total)

alternate case: category of topological vector spaces

Topological homomorphism (1,458 words) [view diff] exact match in snippet view article find links to article

confusion will arise) is the analog of homomorphisms for the category of topological vector spaces (TVSs). This concept is of considerable importance in functional

Complemented subspace (3,308 words) [view diff] exact match in snippet view article find links to article

is the direct sum M ⊕ N {\displaystyle M\oplus N} in the category of topological vector spaces. Formally, topological direct sums strengthen the algebraic

Banach bundle (1,287 words) [view diff] exact match in snippet view article find links to article

invertible continuous linear map, i.e. an isomorphism in the category of topological vector spaces; if Ui and Uj are two members of the open cover, then the

*-autonomous category (912 words) [view diff] exact match in snippet view article find links to article

spaces can be made *-autonomous. On the other hand, the category of topological vector spaces contains an extremely wide full subcategory, the category

LF-space (2,771 words) [view diff] exact match in snippet view article find links to article

category of topological spaces or some subcategory of the category of topological vector spaces (TVSs); If all objects in the category have an algebraic

Topological vector space (13,527 words) [view diff] exact match in snippet view article find links to article

common of which are listed below. Category and morphisms The category of topological vector spaces over a given topological field K {\displaystyle \mathbb