If you really want table lamps, you can investigate something called FLAT WIRE, a Google search will yield lots for results. If you find something that you think would work, call a local electrician for a suitable installation.
I would NOT use this for 120 vac, I would use it for 12 or 24 VDC and then have the lamps modified to use low voltage LED lights. Personally, I would be nervous about 120 vac running across the floor. The 12/24 volt would be greatly limited in fire capability and shock capability.
There were several sites that indicate this is a 'approved' way to wire equipment.
This information is being provided for your research, and I am not suggesting that you use it, this is a possible alternative. Do some home work and talk to experts in the field.
Hope this helps.
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Pennsylvania, for 60+ years, most recently, Allentown, now TV. 
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