Difference between interceptors and decorators

Are there any differences between interceptors and decorators in Java? Strictly speaking, can I implementing things with decorators which are not possible with interceptors and vice versa?

Except the problem that I would have to examine the method name to add method-specific behavior in an interceptor:

Interceptor:

@Nice
@Interceptor
public class NiceGreeterInterceptor {
  @AroundInvoke
  public Object decorate(InvocationContext ic) throws Exception {
    Method method = ic.getMethod();
    String methodName = method.getName();
    Object result = ic.proceed();
    if (methodName.equals("greet")) {
      return "NEW " + result;
    }
  }
}

Decorator:

@Decorator
public class GreeterDecorator implements Greeter {
  @Inject
  @Any
  @Delegate
  private Greeter greeter;

  @Override
  public String greet() {
    return "NEW " + greeter.greet();
  }
}