Does a filtered index improve searching on the opposite condition? Does having a filtered index on a column improve queries with a WHERE clause that is the opposite of the filter condition?

Since the filtered index specifies what not to return, does it reduce the number of records to search?

Example:

CREATE TABLE MyTable
(
  ColumnA INT PRIMARY KEY CLUSTERED,
  ColumnB INT NULL
)

CREATE NONCLUSTERED INDEX IX_MyTable_Filtered_ColumnB
  ON MyTable (ColumnB)
  WHERE ColumnB IS NOT NULL


The index should improve this query:

SELECT ColumnA
FROM MyTable
WHERE ColumnB IS NOT NULL


Will it make any difference to this one?

SELECT ColumnA
FROM MyTable
WHERE ColumnB IS NULL
nope. You'll probably even get an error if you try to force your 'IS NULL' query to use your filtered index with an index hint.