• 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) - 12:47, 4 October 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
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    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
  • 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
  • mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include...
    25 KB (3,425 words) - 02:08, 9 June 2024
  • 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
  • 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) - 12:50, 4 October 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 (10,670 words) - 13:10, 4 October 2024
  • if it is complete as a topological vector space. If ( X , τ ) {\displaystyle (X,\tau )} is a metrizable topological vector space (such as any norm induced...
    104 KB (17,224 words) - 06:29, 3 October 2024