How to split a single column values to multiple column values?

Your approach won't deal with lot of names correctly but...

SELECT CASE
         WHEN name LIKE '% %' THEN LEFT(name, Charindex(' ', name) - 1)
         ELSE name
       END,
       CASE
         WHEN name LIKE '% %' THEN RIGHT(name, Charindex(' ', Reverse(name)) - 1)
       END
FROM   YourTable 

An alternative to Martin's

select LEFT(name, CHARINDEX(' ', name + ' ') -1),
       STUFF(name, 1, Len(Name) +1- CHARINDEX(' ',Reverse(name)), '')
from somenames

Sample table

create table somenames (Name varchar(100))
insert somenames select 'abcd efgh'
insert somenames select 'ijk lmn opq'
insert somenames select 'asd j. asdjja'
insert somenames select 'asb (asdfas) asd'
insert somenames select 'asd'
insert somenames select ''
insert somenames select null