TY - JOUR
AU - Hetman, I.
PY - 2013/06/18
Y2 - 2024/07/19
TI - The completeness of a normed space is equivalent to the homogeneity of its space of closed bounded convex sets
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 5
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.5.1.44-46
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3648
SP - 44-46
AB - <p>We prove that an infinite-dimensional normed space $X$ is complete if and only if the space $\mathrm{BConv}_H(X)$ of all non-empty bounded closed convex subsets of $X$ is topologically homogeneous.</p>
ER -