In 1946 P. Erdos and P. C Rosenbloom presented the following theorem that arose out of discussions they had with R. P. Agnew. Let $\{X_n\}$ be a bounded divergent sequence. Suppose that $\{x_n\}$ is summable by every regular Toeplitz method which sums $\{x_n\}$. They $\{y_n\}$ is of the form $\{cx_n+a_n\}$ where $\{a_n\}$ is convergent. The goals of the paper includes the presentation of a multidimensional analog of Erdos and Rosenbloom results in [1].