The title may be hard to read. scenario is like this:
I have a view: my_view (by default, it will be read committed)
Then I have just created a new SP, content is below:
SET TRANSACTION ISOLATION LEVEL READ UNCOMMITTED;
inner join my_view
I have a view: my_view (read committed)
No, the view does not have an associated isolation level, as you seem to imply. The view is just a stored query. And that query will execute in whatever isolation level is in effect at the time you run it.
So if your view is queried from a stored procedure that sets the isolation level to
read uncommitted (your example), then the query will be executed in that isolation level, simple as that.