Why does putting a WHERE clause outside view have terrible performance

Let's say you have a view:

CREATE VIEW dbo.v_SomeJoinedTables AS
SELECT
    a.date,
    a.Col1,
    b.Col2,
    DENSE_RANK() 
      OVER(PARTITION BY a.date, a.Col2 ORDER BY a.Col3) as Something
FROM a JOIN b on a.date = b.date

I've found that the performance of:

SELECT *
FROM v_SomeJoinedTables
WHERE date > '2011-01-01'

is much worse than

SELECT *, 
   DENSE_RANK() 
     OVER(PARTITION BY a.date, a.Col2 ORDER BY a.Col3) as Something
FROM a JOIN b ON a.date = b.date
WHERE a.date > '2011-01-01'

I'm very suprised that the query plan for these two statements are not the same.

I've also tried using an inline table valued function, but the query still takes 100-1000 times longer than the code where I copy and paste the view logic.

Any ideas?