Concept information
Terme préférentiel
topological vector space
Définition(s)
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In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological space with the property that the vector space operations (vector addition and scalar multiplication) are also continuous functions. Such a topology is called a vector topology and every topological vector space has a uniform topological structure, allowing a notion of uniform convergence and completeness. Some authors also require that the space is a Hausdorff space (although this article does not). One of the most widely studied categories of TVSs are locally convex topological vector spaces.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Topological_vector_space)
Concept(s) générique(s)
Concept(s) spécifique(s)
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/PSR-RZ3QL167-D
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