A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrarily large dimension
نویسندگان
چکیده
منابع مشابه
Large and Small Subspaces of Hilbert Space
For example, Theorem 3 says that if V is a closed subspace of f2 and if V CQp for some p < 2, then V is finite-dimensional . On the other hand, the corollary to Theorem 4 states that there exist infinite-dimensional subspaces V of f 2 none of whose nonzero elements belongs to any f p -space (p < 2) . [For L2(0, 1) the results are somewhat different: (1) if V is a closed subspace of L 2(0, 1) an...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1979
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-102-2-137-142