getting null value from inputtext field and comandbutton not invoked action method in primefaces

Question

<h:form>    <p:inputText id="uname" value="#{user.name}"/>
        <p:inputText id="ac" value="#{user.account}"/>  
         <p:commandButton id="submit1" value="Submit" action="#{user.commandButtonAction}" /> ​
</h:form>

this is xhtml main code backingbean is used managedbean and viewscoped annotation

    @ManagedBean(name="user")
    @ViewScoped
    public class user {
        private String account;
        private String name;
    
        public String getName() {
            System.out.println(" name is ::"+ name);
            return name;
            
        }
    
        public void setName(String name) {
            this.name = name;
        }
    
        public String getAccount()  {
            System.out.println("account no is:: "+ account);
            return account;
        }
    }
        public void setAccount(String account) {
            this.account = account;
        }
        public void commandButtonAction() throws IOException{
            System.out.println("succesful");
        }