Similarly, one can replace the class of bounded ( and totally bounded ) subsets in X in the definition of dual space X, by other classes of subsets, for example, by the class of compact subsets in X-- the spaces defined by the corresponding reflexivity condition are called " reflective ", and they form an even wider class than "'Ste "', but it is not clear ( 2012 ), whether this class forms a category with properties similar to those of "'Ste " '.
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