I read that you cannot take a tablespace offline if the database is only mounted so I decided to test this in an Oracle 11.2.0.4 database. I mounted the database and tried to take the USERS tablespace offline. Oracle returned an ORA-01109. I opened the database then I was able to take the tablespace offline:
SQL> startup mount
ORACLE instance started.
Total System Global Area 521936896 bytes
Fixed Size 2252448 bytes
Variable Size 310378848 bytes
Database Buffers 201326592 bytes
Redo Buffers 7979008 bytes
Database mounted.
SQL> alter tablespace users offline
2 /
alter tablespace users offline
*
ERROR at line 1:
ORA-01109: database not open
SQL> alter database open
2 /
Database altered.
SQL> alter tablespace users offline
2 /
Tablespace altered.
SQL> alter tablespace users online
2 /
Tablespace altered.
SQL>
ORACLE instance started.
Total System Global Area 521936896 bytes
Fixed Size 2252448 bytes
Variable Size 310378848 bytes
Database Buffers 201326592 bytes
Redo Buffers 7979008 bytes
Database mounted.
SQL> alter tablespace users offline
2 /
alter tablespace users offline
*
ERROR at line 1:
ORA-01109: database not open
SQL> alter database open
2 /
Database altered.
SQL> alter tablespace users offline
2 /
Tablespace altered.
SQL> alter tablespace users online
2 /
Tablespace altered.
SQL>