Very slow in turning on, 3-5 min. Then works ok. It is a Sony 36 in trinitron wega

Possible issues in the Power section or the main board . If you can use a hair dyer to heat areas slowly the fault area can be found out easily as the set gets triggered when warm a possible fault in the capacitor of either of these stages.
Be very careful and you will be able to get to the fault as the set is live.
Check for leaked capacitor or smell in this sections.