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math.FA2020
Characterization of Fréchet Spaces and Application to Hausdorff MNC
Henning Wunderlich
In this short note, we give a characterization of Fréchet spaces via properties of their metric. This allows us to prove that the Hausdorff measure of noncompactness (MNC), defined…
math.FA2019
On a characterization of spaces satisfying open mapping and equivalent theorems
Henning Wunderlich
For classes of topological vector spaces, we analyze under which conditions open-mapping, continuous-inverse, and closed-graph properties are equivalent. Here, closure under quotie…