Pedal bearing stuck to the spindle
If you have a relatively big bench vice (or some other big clamps like woodworking clamps) you could consider making a DIY axle extractor to get the job done:



1) 

Take a wooden beam (approx 4x4cm or larger size also good as long as it's manageable) and saw off a bit of approx 20cm. drill a hole in the middle which will fit the threaded end of the pedal axle through. 

2) 

Buy a flat punch (link in previous comment) or make a DIY flat punch with sawed off screwdriver of the correct size and use it to press against the pedal's axle. The difficult thing would be to get the screwdriver or punch to stay perpendicular with the jaw of the bench vice whilst clamping down. a punch will make this easier since it has a bigger base but still it might be difficult. If you are ok with it you could consider drilling a small hole in the vice jaw to stick  the screwdriver in or a better option: take a block of aluminum or steel (or an old crank for example, and drill a hole in it such that you can use the block for a base for the screwdriver/punch to keep it parallel with the jaw of the vice.

3) 

Place the pedal in between (with the pedal's axle (the side that screws into the crank) in the hole in the wooden beam) and the sawed off screwdriver or punch pressing against the other side of the axle.

then tighten the vice and the pedal's axle should be pushed out of the pedal.