Context : We report new constraints on the galaxy luminosity function at z \sim 9 based on observations carried out with ESO/VLT FORS2 , HAWK-I and X-Shooter around the lensing cluster A2667 , as part of our project aimed at selecting z \sim 7-10 candidates accessible to spectroscopy .
Only one J - dropout source was selected in this field fulfilling the color and magnitude criteria .
This source was recently confirmed as a mid- z interloper based on X-Shooter spectroscopy .

Aims : The depth and the area covered by our survey are well suited to set strong constraints on the bright-end of the galaxy luminosity function and hence on the star formation history at very high redshift .

Methods : The non-detection of reliable J - dropout sources over the \sim 36arcmin ^ { 2 } field of view towards A2667 was used to carefully determine the lens-corrected effective volume and the corresponding upper-limit on the density of sources .

Results : The strongest limit is obtained for \Phi ( M _ { 1500 } =-21.4 \pm 0.50 ) < 6.70 \times 10 ^ { -6 } Mpc ^ { -3 } mag ^ { -1 } at z \sim 9 .
A maximum-likelihood fit of the luminosity function using all available data points including the present new result yields M ^ { \star } > -19.7 with fixed \alpha =-1.74 and \Phi ^ { \star } =1.10 \times 10 ^ { -3 } Mpc ^ { -3 } .
The corresponding star formation rate density should be \rho _ { SFR } < 5.97 \times 10 ^ { -3 } M _ { \odot } yr ^ { -1 } Mpc ^ { 3 } at z \sim 9 .
These results are in good agreement with the most recent estimates already published in this range of redshift and for this luminosity domain .

Conclusions : This new result confirms the decrease in the density of luminous galaxies at very high-redshift , hence providing strong constraints for the design of future surveys aiming to explore the very high-redshift Universe .