We have studied the nuclear region of the previously detected dual AGN system in the galaxy pair IRAS 05589+2828 and 2MASX J06021107+2828382 through new optical spectroscopy observations, along with radio and X-ray archival data. Our multiwavelength data strongly suggest that the Sy1 \iras, (z=0.03300.0002) conforms to a dual AGN system with the Sy2 \twomas, (z=0.03340.0001) with a projected separation obtained from the radio data of 20.08\arcsec, (13.3,kpc). Analysis of the optical spectra reveals a faint narrow extended emission from H and [OIII] amidst the two AGN, supporting evidence for an ongoing merger. \iras, is a double component narrow emission line AGN, with complex broad Balmer emission line profiles that clearly show a strong red-peaklet with a velocity shift of 3500,km,s. The black hole mass estimates of \iras, and \twomas, are log,M,=,8.59,,0.14 (M) and log,M,=,8.210.2 (M), respectively. In the X-ray bands, \iras, is compatible with a Type 1 object, showing both spectral and flux variability. \chandra, data of 2MASX,J06021107+2828382 allowed us to measure a high hardness ratio in this source, providing evidence for a Type 2 AGN. The 22 GHz image obtained with the {\it Karl G. Jansky Very Large Array} has revealed that both AGN are compact radio objects with spectral indices -0.260.03 and -0.700.11, confirming for the first time its dual AGN nature in the radio bands.

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