From what I see, in v2 of GMaps API there was a property \"buttons\" of the InfoWindow object that one could define in a way that given InfoWindow has no close button:
You can also do it through the css.
.gm-style-iw + div {display: none;}
edit january 2019
as @antmeehan said in the comment,
Google have changed the HTML, and the close button is now a button element rather than a div
So the css code to hide the "x" button is now:
.gm-style-iw + button {display: none;}