Not just ownership, but rights in general, and even worse: the concept of individual independence and empowerment.
There has been a consistent trend to portray the digital/online realm as a world apart from the "real" world, rather than, as is the truth, just another facet of it. This has facilitated massive erosions of civil liberties in the online world. Government censorship is the norm on the internet, not the exception. Warrantless monitoring and trespass on private systems and data by the government and law enforcement is also rampant, with few safeguards. In a similar vein, the protections of the rule of law and the criminal justice system are completely thrown out the window in many circumstances when it comes to the online realm. You can be effectively punished online merely due to an allegation (i.e. DMCA takedown), and often only arbitration is available as a remedy, erasing centuries of traditional protection for individual rights through the court system.
And that's aside from the ongoing war over DRM and the desire of major content aggregators to deny ownership rights and privileges to customers.
Add to that the growing reliance on paternalistic relationships with large corporations and business entities, eroding individualism. People rely on their ISPs and their cell carriers for access to the online world, a major aspect of modern business and private life. Unlike phone service these service providers have much greater leeway to decide what you can and cannot do online and have increasingly taken advantage of consumers. People rely on major services (gmail, hotmail, facebook, twitter, etc.) for their primary means of communication, services that in many cases border on unregulated monopolies. And at work people are increasingly dependent on their employers to provide medical and dental coverage, retirement savings, and so forth.