Resumen de An index formula for the two variable Jordan block

Lufeng Yu, Yixian Yang, Rongwei Yang

• On Hardy space over the bidisk, let be the compression of the pair to the quotient module . In this paper, we obtain an index formula for when it is Fredholm. It is also shown that the evaluation operator is compact on a Beurling type quotient module if and only if the corresponding inner function is a finite Blaschke product in .