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if i own
www.chase.com, you can set up chaseonline.chase.com and not be infringing on my [censored]?
or are these websites just one-shot things, taken down as fast as they get put up?
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You can't. The only one who can make chaseonline.chase.com or banana.chase.com is chase.com. You CANNOT register a domain with a "dot" in it.