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barrelled set
also called a barrel in a topological vector space is a set which is convex and has 2 more synonyms

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  1. In functional analysis and related areas of mathematics barrelled spaces are topological vector spaces where every barrelled set in the space is a neighbourhood for the zero vector

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
  2. in functional analysis

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
  3. balanced, absorbing and closed

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
  4. Barrelled spaces are studied because the Banach-Steinhaus theorem still holds for them

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
  5. Barrelled spaces were introduced by Bourbaki in an article in Ann

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
  6. Inst. Fourier , 2 (1950), pp. 5-16

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on December 26, 2008
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