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Ultra-compact massive galaxies UCMGs, i.e. galaxies with stellar masses$M_{*} > 8 \times 10^{10} M_{\odot}$ and effective radii $R_{e} < 1.5$ kpc, arevery rare systems, in particular at low and intermediate redshifts. Theirorigin as well as their number density across cosmic time are still underscrutiny, especially because of the paucity of spectroscopically confirmedsamples. We have started a systematic census of UCMG candidates within the ESOKilo Degree Survey, together with a large spectroscopic follow-up campaign tobuild the largest possible sample of confirmed UCMGs. This is the third paperof the series and the second based on the spectroscopic follow-up program.Here, we present photometrical and structural parameters of 33 new candidatesat redshifts $0.15 \lesssim z \lesssim 0.5$ and confirm 19 of them as UCMGs,based on their nominal spectroscopically inferred $M_{*}$ and $R_{e}$. Thiscorresponds to a success rate of $\sim 58\%$, nicely consistent with ourprevious findings. The addition of these 19 newly confirmed objects, allows usto fully assess the systematics on the system selection, and finally reduce thenumber density uncertainties. Moreover, putting together the results from ourcurrent and past observational campaigns and some literature data, we build thelargest sample of UCMGs ever collected, comprising 92 spectroscopicallyconfirmed objects at $0.1 \lesssim z \lesssim 0.5$. This number raises to 116,allowing for a $3\sigma$ tolerance on the $M_{*}$ and $R_{e}$ thresholds forthe UCMG definition. For all these galaxies we have estimated the velocitydispersion values at the effective radii which have been used to derive apreliminary mass-velocity dispersion correlation.

Building the largest spectroscopic sample of ultra-compact massive galaxies with the Kilo Degree Survey