On the non-normal Padé table in a non-commutative algebra

摘要

In the non-commutative algebra the blocks in the table of orthogonal polynomials and therefore in the Padé table are not square, and generally it is impossible to say anything on the structure of these blocks except for infinite blocks. This last case is extensively studied here for the non-normal Padé table, the non-normal table P of orthogonal polynomials, and the non-normal ϵ-table. Some examples of illustration of different situations are given.