Counterexamples to results of M.M. Rao

SummaryOrlicz spaces and Prediction Operators in these spaces have been investigated by M.M. Rao in a number of well known papers. Since these papers are widely recognized as pioneering work in this field, it seems worth while to point out that some of his main results and many of his proofs are false. In particular M.M. Rao's result on strict convexity of Orlicz spaces and his proofs of convergence theorems for prediction sequences are false.