>>>>Assuming a bit field (or numeric) where 1 = True and 0 = False:
>>>>

select iID, mylogical =
>>>>   case
>>>>   when llogical = 0 then 'Closed'
>>>>   else 'Open'
>>>>   end
>>>>from sometable

>>>
>>>This works fine in Query Manager but does not work in a remote view.
>>
>>Yes it does. What does it not do for you?
>
>It does not work in a VFP remote view.

Your original post led me to believe that this was a SQL Server remote view.
Did something change since then?

Wait a minute...

Are you using the View Designer?

If so, then you cannot create this view in the View Designer.

You must create it in code, e.g.

CREATE SQL VIEW YourViewName ;
  REMOTE CONNECT YourConnection AS ;
     select iID, mylogical = ;
     case ;
     when llogical = 0 then 'Closed' ;
     else 'Open' ;
     end ;
   from sometable

Also, I apologize for leaving out the ";"s for the line continuation.
That may have thrown you off as well.
The select statement in a remote view must follow the syntax of the source database, but the coding structure (like with ";" as line continuation) still must follow VFP syntax.