The general feel in todays society that everything is somehow copyrighted or property of someone else to the point where it hinders creativity and makes it much more difficult to innovate. It is also the belief that just because you created/thought of something that you should have complete and total control over every aspect of that thing, object or idea.
This concept was originally discussed by Molly Wood during the podcast. It is also one of Molly Wood's blogs (http://cultureofownership.org/).
Examples[]
Apple not allowing iPhone unlocking, this is a culture of ownership.