منابع مشابه
Bounded Sets in (f)-spaces
1. In the theory of (F)-spaces,1 the following two questions arise: (A) Let £ be a metrizable locally convex space; is it true that if every bounded set in E is separable, the space E is separable? (B) Let £ be a metrizable locally convex space, E its completion; is it true that every bounded set in E is contained in the closure of a bounded set of El The purpose of this note is to prove that, ...
متن کاملFUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES
In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.
متن کاملfuzzy bounded sets and totally fuzzy bounded sets in i-topological vector spaces
in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.
متن کاملBounded analytic sets in Banach spaces
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متن کاملRemarks on bounded sets in (LF )tv-spaces
We establish the relationship between regularity of a Hausdorff (LB)tv -space and its properties like (K), M.c.c., sequential completeness, local completeness. We give a sufficient and necessary condition for a Hausdorff (LB)tv-space to be an (LS)tv-space. A factorization theorem for (LN)tv-spaces with property (K) is also obtained.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1962
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-9-1-89-91