We study the long-standing problem of the existence of non-Berwaldian Landsberg spaces from the
perspective of conformal transformations. We calculate the Berwald and Landsberg tensors in terms of
the T-tensor and show that there are Landsberg spaces with nonvanishing T-tensor. We give a necessary
condition for a Landsberg space to be Berwaldian. We find conditions under which the Landsberg spaces
cannot be Berwaldian and give examples of (y-local) non-Berwaldian Landsberg spaces