How can I hide the header of a WPF ListView?

I want to be able to hide the header at the top of each grid column in a WPF ListView.

This is the XAML for my ListView:

   <Window x:Class="ListViewTest.Test0.ListViewTest"
   xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
   xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
   Title="Empty ListView Grid" Height="216" Width="435" FlowDirection="LeftToRight" HorizontalAlignment="Stretch" VerticalAlignment="Stretch" Grid.IsSharedSizeScope="False">
    <Window.Resources>
        <XmlDataProvider x:Key="CustomersDS" Source="C:\data.xml"/>
    </Window.Resources>


    <ListView Margin="0,0,0,50" ItemTemplate="{DynamicResource CustomerTemplate}" ItemsSource="{Binding Source={StaticResource CustomersDS}, XPath=/Customers/Customer}">
        <ListView.View>
            <GridView>
                <GridViewColumn  DisplayMemberBinding="{Binding XPath=Code}"/>
                <GridViewColumn  DisplayMemberBinding="{Binding XPath=Name}"/>
                <GridViewColumn  DisplayMemberBinding="{Binding XPath=Country}"/>
            </GridView>
        </ListView.View>
    </ListView>


</Window>

The data I am binding this to is:

 <Customers>
  <Customer>
 <Code>1234</Code>
 <Name>EPI</Name>
 <Country>Sesame Street</Country>
  </Customer>
  <Customer>
 <Code>3234</Code>
 <Name>Paul</Name>
 <Country>United Kingdom</Country>
  </Customer>
 <Customer>
 <Code>3344</Code>
 <Name>Juan</Name>
 <Country>Spain</Country>
  </Customer>
 <Customer>
 <Code>4321</Code>
 <Name>Dodo</Name>
 <Country>Mars</Country>
  </Customer>
</Customers>

Define a Style like so

<Window.Resources>
    ....
    <Style x:Key="myHeaderStyle" TargetType="{x:Type GridViewColumnHeader}">
        <Setter Property="Visibility" Value="Collapsed" />
    </Style>
</Window.Resources>

Apply it like so

<GridView ColumnHeaderContainerStyle="{StaticResource myHeaderStyle}">
    ....
</GridView>

You can also put the Style inline like so:

<ListView>
    <ListView.Resources>
        <Style TargetType="GridViewColumnHeader">
            <Setter Property="Visibility" Value="Collapsed" />
        </Style>
    </ListView.Resources>
    <ListView.View>
        <GridView>
            <!-- ... -->
        </GridView>
    </ListView.View>
</ListView>

This ensures that the style will only be applied to the desired control (i.e., without unintentionally affecting any additional controls that may be within the XAML scope).

Another way you can apply Ray's solution is like this:

<ListView>
    <ListView.View>
        <GridView>
            <GridView.ColumnHeaderContainerStyle>
                <Style TargetType="GridViewColumnHeader">
                    <Setter Property="Visibility" Value="Collapsed" />
                </Style>
            </GridView.ColumnHeaderContainerStyle>
        </GridView>
    </ListView.View>
</ListView>

The solution sets the style property directly rather than creating a resource that is automatically applied. Not saying it's better, just another way...