The oceans used to do that. Without mankind there would be a 5-10 ppm rise in CO2 from the natural warming coming out of the Little Ice Age. That can be calculated from the partial pressure of CO2 in the atmosphere (above the ocean) and the temperature rise. Since CO2 has risen by about 100ppm the oceans have gone into reverse and are now absorbing about 1/2 of mankind's emissions each year.
Here's a paper http://nora.nerc.ac.uk/8576/1/LeQuere09.pdf showing the warming oceans are not emitting, they are absorbing. There are more many papers like this and they are generally correct.
I will reinstall adobe’s crap to read your PDF. Do you believe the Sun does not heat the Earth?