Always Valid Entity and Constructor Injection

Giving the following sample:

class Customer
{ 
    ICustomerRepository repository;

    private string name;

    public Customer(string name, ICustomerRepository repository)
    {        
        Name = name;
        this.repository= repository;
    }

    public string Name 
    { 
         get {return name;} 
         set 
         {
             if(String.IsNullOrWhiteSpace(value))
                 throw new ArgumentException();

             name = value;
        } 
    }
}

• I'm using ninject IoC.


• I abstract ninject container in an IFactory interface that has Get<>() method, so i want use only constructor injection. I do that because i don't want use [Inject] attributes.


• I want follow the always valid entity principle.

In this scenario i can't do that because i have a parameter on constructor. There is an another approach to do that?