Kenmore gsi-23 refrigerator not getting cold

without a continuity tester this is nearly impossible but the components are defrost control/defrost heater/ defrost thermostat. with freezer frozen unplug and disconnect defrost t-stat attached to evaperator coil on top corner(looks like short stack of nickels with 2 wires) check for continuity..in ice should be closed. also look for top to be pushed up crooked if misshapen replace. next check heater for cont. be sure to disconnect first. if both of these are good.."continuity" then it must be the defrost control.

You need to take a look at your defrost configuration. The first thing to do is check the heater. Then check the terminator and then check out the defrost timing device. (read more)