In a frequency-selective MIMO channel, the optimum transmission is beamforming based on eigenvectors, i.e., eigenbeam-space division multiplexing (E-SDM), at each frequency point. However, the calculation load of eigenvalue decomposition at the transmitter increases in proportion to the number of frequency points. In addition, frequency-independent eigenvectors increase the delay spread of the effective channel observed at the receiver. In this paper, we propose pseudo eigenvectors for the purpose of reducing the calculation load at the transmitter and maintaining frequency continuity of the effective channel. First, we demonstrate that pseudo eigenvectors decrease the delay spread of the effective channels. Next, the practical performance of the pseudo E-SDM (PE-SDM) transmission in MIMO-OFDM systems is evaluated. The simulation results show that PE-SDM with an interference canceller provides better performance than E-SDM when an estimated effective channel is used to detect the substreams at the receiver.