Perhaps someone else will have a solution for that, but I was unable to get the Infragistics editor to work. However, I was able to get the stock Windows editor to work, which for me was good enough:
/// <summary>
/// Returns the collection of <see cref="UltraListViewItem"/> objects.
/// </summary>
[Category( "Data" ), Description( "Returns the collection of UltraListViewItem objects." ), DesignerSerializationVisibility( DesignerSerializationVisibility.Content ), ListBindable( true ), Editor( "System.Windows.Forms.Design.ListViewItemCollectionEditor, System.Design, Version=2.0.0.0, Culture=neutral, PublicKeyToken=b03f5f7f11d50a3a", typeof( UITypeEditor ) )]
public UltraListViewItemsCollection Items {
get { return this.listView == null ? null : this.listView.Items; }
}