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...
103 KB (13,529 words) - 03:12, 5 July 2024
convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can...
58 KB (10,592 words) - 23:16, 10 August 2024
Fréchet spaces, named after Maurice Fréchet, are special topological vector spaces. They are generalizations of Banach spaces (normed vector spaces that...
29 KB (5,027 words) - 09:06, 22 August 2024
put it more abstractly every seminormed vector space is a topological vector space and thus carries a topological structure which is induced by the semi-norm...
18 KB (2,890 words) - 22:11, 21 February 2024
analysis and related areas of mathematics, a complete topological vector space is a topological vector space (TVS) with the property that whenever points get...
91 KB (15,843 words) - 19:08, 25 November 2023
be called the algebraic dual space. When defined for a topological vector space, there is a subspace of the dual space, corresponding to continuous linear...
45 KB (6,872 words) - 18:21, 24 June 2024
pseudometrizable) topological vector space (TVS) is a TVS whose topology is induced by a metric (resp. pseudometric). An LM-space is an inductive limit...
64 KB (10,671 words) - 22:12, 18 January 2023
is a compact complete set that is not closed. Any topological vector space is an abelian topological group under addition, so the above conditions apply...
14 KB (1,924 words) - 10:06, 17 April 2024
mathematics, a barrelled space (also written barreled space) is a topological vector space (TVS) for which every barrelled set in the space is a neighbourhood...
23 KB (3,556 words) - 18:16, 20 July 2024
general topology Exterior space Hausdorff space – Type of topological space Hilbert space – Type of topological vector space Hemicontinuity – Semicontinuity...
28 KB (4,038 words) - 16:31, 2 September 2024