Minimal pairs of bounded closed convex sets
Studia Mathematica, Tome 126 (1997) no. 1, pp. 95-99
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.
@article{10_4064_sm_126_1_95_99,
author = {J. Grzybowski and },
title = {Minimal pairs of bounded closed convex sets},
journal = {Studia Mathematica},
pages = {95--99},
year = {1997},
volume = {126},
number = {1},
doi = {10.4064/sm-126-1-95-99},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-126-1-95-99/}
}
J. Grzybowski; . Minimal pairs of bounded closed convex sets. Studia Mathematica, Tome 126 (1997) no. 1, pp. 95-99. doi: 10.4064/sm-126-1-95-99
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