We report temperature-dependent angle-resolved photoemission spectra for overdoped Bi2Sr2CaCu2O8+alpha single-crystal samples. The data indicate that there is a special temperature (T+) where the spectral function changes intensity, and where the energy difference between the peak and dip features changes. The data also demonstrate that immediately above the superconducting transition temperature, the system exhibits a non-lorentzian lineshape. We discuss implications of the data.