I have a JSF view that lists items in a collection in a Primefaces DataTable. The rightmost columns contain remove buttons. When a remove button is clicked, it is supposed to make an Ajax call, remove the corresponding item from the session variable Cart and update the view in-place. I would like the request and the view change to be as minimal as possible. 
Here is what I have for this purpose:
<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml"
    xmlns:h="http://java.sun.com/jsf/html"
    xmlns:f="http://java.sun.com/jsf/core"
    xmlns:p="http://primefaces.org/ui">
<h:head>
    <title>Register user</title>
</h:head>
<h:body>
    <f:view>
        <h:form id="itemsForm">
            <p:outputPanel id="items">
                <p:dataTable value="#{cart.itemList}" var="item">
                    <p:column>
                        <f:facet name="header">
                            <h:outputText value="name" />
                        </f:facet>
                        <h:outputText value="#{item.product.description}" />
                    </p:column>
                    <p:column>
                        <f:facet name="header">
                            <h:outputText value="quantity" />
                        </f:facet>
                        <h:outputText value="#{item.quantity}" />
                    </p:column>
                    <p:column>
                        <f:facet name="header">
                            <h:outputText value="" />
                        </f:facet>
                        <p:commandButton icon="ui-icon-close" title="remove from cart">
                            <p:ajax listener="#{cart.removeItem}"
                                update="form:itemsForm"
                                process="@this" />
                        </p:commandButton>
                    </p:column>
                    <f:facet name="footer">  
                        Total amount: ${cart.totalAmount}
                    </f:facet>
                </p:dataTable>
            </p:outputPanel>
        </h:form>
    </f:view>
</h:body>
</html>
Accordingly, I have the following method in Cart.java
public void removeItem() {
        System.out.println("REMOVE REQUEST ARRIVED");
}
However, the removeItem method isn't even executing when I click a remove button.
So my questions are:
1) What is wrong with my Ajax call? What changes should I make to my XHTML?
2) How do I handle the request in the removeItem method and return a response?
3) How do I update the footer, which displays the totalAmount?
 
     
     
    