I. Hetman

activity

20112026

most citedLinear Geometry: flats, ranks, regularity, parallelity

1 citations · 1 across the 11 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.GT2011

Recognizing the topology of the space of closed convex subsets of a Banach space

Taras Banakh, Ivan Hetman, Katsuro Sakai

Let $X$ be a Banach space and $C o n v_{H} (X)$ be the space of non-empty closed convex subsets of $X$ , endowed with the Hausdorff metric $d_{H}$ . We prove that each connected component of…

math.FA2011

A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces

Taras Banakh, Ivan Hetman

For a Banach space $X$ by $C o n v_{H} (X)$ we denote the space of non-empty closed convex subsets of $X$ , endowed with the Hausdorff metric. We prove that for any closed convex set $C\s…

math.FA2011

A "hidden" characterization of polyhedral convex sets

Taras Banakh, Ivan Hetman

We prove that a closed convex subset $C$ of a complete linear metric space $X$ is polyhedral in its closed linear hull if and only if no infinite subset $A \subset X \ C$ ca…