COMPATIBLE LOCALLY CONVEX TOPOLOGIES ON NORMED SPACES: CARDINALITY ASPECTS
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DOI: 10.1017/s0004972717000090
Abstract: For a normed infinite-dimensional space, we prove that the family of all locally convex topologies which are compatible with the original norm topology has cardinality greater or equal to c. read more here.
Keywords: locally convex; convex topologies; normed spaces; cardinality ... See more keywords