Norton Internet is a Microsoft Windows application so won't run on Linux which has a completely different structure.
Linux is inherently safer than Windows because of this and has far fewer viruses out in the wild. (I haven't used a virus checker at all since I moved to Linux in 2000)
There are virus checkers available but mainly to help protect your Windows using friends from any malignant code which passes through your Linux system to them, email attachments spring to mind.
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