Barrelled space

In functional analysis and related areas of mathematics, barrelled spaces are Hausdorff topological vector spaces for which every barrelled set in the space is a neighbourhood for the zero vector. A barrelled set or a barrel in a topological vector space is a set which is convex, balanced, absorbing and closed. Barrelled spaces are studied because a form of the Banach–Steinhaus theorem still holds for them.

单词	Barrelled space
释义	Barrelled space 英语百科 Barrelled space In functional analysis and related areas of mathematics, barrelled spaces are Hausdorff topological vector spaces for which every barrelled set in the space is a neighbourhood for the zero vector. A barrelled set or a barrel in a topological vector space is a set which is convex, balanced, absorbing and closed. Barrelled spaces are studied because a form of the Banach–Steinhaus theorem still holds for them.
随便看	Benzodiazepine Anxiolytics Benzodiazepine GABA Receptor Benzodiazepine Gaba Receptors benzodiazepine measurement benzodiazepine nucleus Benzodiazepine receptor benzodiazepine receptor antagonist Benzodiazepine receptor binding inhibitor Benzodiazepine receptors benzodiazepines abuse Benzodiazepine Tranquilizers Benzodiazepinones benzodiazine benzodiazipine receptor benzodiazocine benzodiazocines benzodiazonines benzodihydropyrone Benzodiones Benzodioxan Benzodioxane benzodioxanes benzodioxan test benzodioxin benzodioxol