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
Topologies on normed spaces generated by porosity
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DOI: 10.2298/fil1901335k
Abstract: In the present paper we study properties of porouscontinuous functions defined by J. Borsı́k and J. Holos in 2014. We find maximal additive classes for different families of these functions. Furthermore, we define new families… read more here.
Keywords: porosity; spaces generated; normed spaces; generated porosity ... See more keywords