Create a ListView control that uses a GridView view mode to display dates.

   
  

<Window xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    x:Class="ListViewSort.Window1"    
    xmlns:s="clr-namespace:System.Collections;assembly=mscorlib"
    xmlns:p="clr-namespace:System;assembly=mscorlib">
  <Window.Resources>
    <DataTemplate x:Key="HeaderTemplateArrowUp">
      <DockPanel>
        <TextBlock HorizontalAlignment="Center" Text="{Binding}"/>
        <Path x:Name="arrow"
           StrokeThickness = "1"            
           Fill            = "gray"
           Data            = "M 5,10 L 15,10 L 10,5 L 5,10"/>
     </DockPanel>
    </DataTemplate>
    <DataTemplate x:Key="HeaderTemplateArrowDown">
      <DockPanel>
        <TextBlock HorizontalAlignment="Center" Text="{Binding }"/>
        <Path x:Name="arrow"
              StrokeThickness = "1"            
              Fill            = "gray"
              Data            = "M 5,5 L 10,10 L 15,5 L 5,5"/>
      </DockPanel>
    </DataTemplate>
  </Window.Resources>
  
  <StackPanel>
    <ListView x:Name=&#039;lv&#039; Height="150" GridViewColumnHeader.Click="GridViewColumnHeaderClickedHandler">
      <ListView.View>
        <GridView>
          <GridViewColumn DisplayMemberBinding="{Binding Path=Year}" 
                          Header="Year"
                          Width="100"/>
        </GridView>
      </ListView.View>
      <ListView.ItemsSource>
        <s:ArrayList>
          <p:DateTime>2003/1/1 12:22:02</p:DateTime>
          <p:DateTime>2003/1/2 13:2:01</p:DateTime>
          <p:DateTime>2007/1/3 2:1:6</p:DateTime>
          <p:DateTime>2007/1/4 13:6:55</p:DateTime>
          <p:DateTime>2009/2/1 12:22:02</p:DateTime>
          <p:DateTime>2008/2/2 13:2:01</p:DateTime>
          <p:DateTime>2000/2/3 2:1:6</p:DateTime>
          <p:DateTime>2002/2/4 13:6:55</p:DateTime>
          <p:DateTime>2001/3/1 12:22:02</p:DateTime>
          <p:DateTime>2006/3/2 13:2:01</p:DateTime>
          <p:DateTime>2004/3/3 2:1:6</p:DateTime>
          <p:DateTime>2004/3/4 13:6:55</p:DateTime>
        </s:ArrayList>
      </ListView.ItemsSource>
    </ListView>
  </StackPanel>
</Window>

//File:Window.xaml.cs
using System;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Media;
using System.Collections;
using System.Windows.Controls.Primitives;
using System.ComponentModel;
using System.Windows.Data;

namespace ListViewSort
{
    public partial class Window1 : Window
    {
        public Window1()
        {
            InitializeComponent();
        }

        GridViewColumnHeader _lastHeaderClicked = null;
        ListSortDirection _lastDirection = ListSortDirection.Ascending;

        void GridViewColumnHeaderClickedHandler(object sender,RoutedEventArgs e)
        {
            GridViewColumnHeader headerClicked = e.OriginalSource as GridViewColumnHeader;
            ListSortDirection direction;

            if (headerClicked == null){
               return;
            }
            if (headerClicked.Role != GridViewColumnHeaderRole.Padding){
               return;
            }
            if (headerClicked != _lastHeaderClicked){
               direction = ListSortDirection.Ascending;
            }else{
               if (_lastDirection == ListSortDirection.Ascending){
                  direction = ListSortDirection.Descending;
               }else{
                  direction = ListSortDirection.Ascending;
               }
            }

            string header = headerClicked.Column.Header as string;
            Sort(header, direction);

            if (direction == ListSortDirection.Ascending)
            {
               headerClicked.Column.HeaderTemplate = Resources["HeaderTemplateArrowUp"] as DataTemplate;
            }else{
               headerClicked.Column.HeaderTemplate = Resources["HeaderTemplateArrowDown"] as DataTemplate;
            }
            if (_lastHeaderClicked != null &amp;&amp; _lastHeaderClicked != headerClicked)
            {
               _lastHeaderClicked.Column.HeaderTemplate = null;
            }
            _lastHeaderClicked = headerClicked;
            _lastDirection = direction;
            
        }
        private void Sort(string sortBy, ListSortDirection direction)
        {
            ICollectionView dataView = CollectionViewSource.GetDefaultView(lv.ItemsSource);

            dataView.SortDescriptions.Clear();
            SortDescription sd = new SortDescription(sortBy, direction);
            dataView.SortDescriptions.Add(sd);
            dataView.Refresh();
        }
    }
}