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Using new observations of the galaxy cluster A118 at intermediate redshift(z=0.31) in the Ks band, we were able to detect the cluster from the center tohalf the Abell radius (1.5 Mpc, Ho=50 km/s/Mpc) and possibly to 2.0 Mpc. Theanalysis of both the spatial distribution of galaxies of various luminositiesand of the luminosity function (LF) of galaxies in different cluster locationsstrongly confirms and extends to larger clustercentric radii the luminositysegregation found in a previous analysis of this cluster restricted to asmaller cluster area: there is an excess of bright galaxies in the cluster core(inside 250 Kpc) or a deficit of dwarfs in the remain part of the cluster.Outside the cluster core and as far as 1.5 or even 2 Mpc, the giant-to-dwarfratio is constant. Because of the luminosity segregation, the LF of the AC118shows a larger number of bright galaxies per unit dwarf in the core than inother cluster locations. All non-core LFs, computed at several clusterlocations, are compatible each other. These results hold both including orexcluding the galaxies located in an overdensity found in the far South ofAC118 and in the second clump in galaxy density at the cluster North-West.Since the near-infrared emission is a good tracer of the stellar mass, weinterpret the segregation found as a mass segregation.Comment: A&A in pres

$\vec{K}$–band luminosity (mass) segregation in AC 118 at $\vec {z}$ = 0.31