You cannot do it this way. Fortunately, you already have a Class<T> argument so instead do
myClass.isAssignableFrom(obj.getClass())
This will return true if obj is of class myClass or subclass.
As @ILMTitan pointed out (thanks), you will need to check for obj == null to avoid a potential NullPointerException, or use myClass.isInstance(obj) instead. Either does what you need.