A remark on the distortion of twisted sums

Odell and Schlumprecht solved the distortion problem by proving that the classic sequence spaces ₚ for 1<p<∞ admit an inevitable biorthogonal system. In particular, these spaces are arbitrarily distortable. Later, Maurey extended the result to asymptotic ₚ-spaces while Tomczak-Jaegermann did likewise for the Schatten classes. We observe that the Kalton-Peck spaces Zₚ for 1<p<∞ admit an inevitable biorthogonal system. Therefore, we may add this classic family to the list of arbitrarily distortable spaces.