How Subclass Native Class?

How can I subclass a native class to get my own class with all the
function of the native clas, plus correct instanceof behaviour?

The scenario I'm thinking of is something like

function MyArray() {
Array.apply( this, arguments );
}
MyArray.prototype = new Array();
MyArray.prototype.constructor = MyArray;

var marr = new MyArray();
marr[0] = "abc";
marr.length == 1; // true
marr instanceof MyArray; // true

But this seems impossible due to the Array constructor returning a new
object even when called with my own "this" in the apply() above. Can
this be solved in any way?