Zeros of Fredholm operator valued H-p-functions

This paper is concerned with Fredholm operator valued H-P-functions on the unit disc, where the Fedholm operators act on a Banach space. Sufficient co nditions are presented which guarantee that Fatou's theorem is valid. Using the theory of traces and determinants on quasi-Banach operator ideals, we develop conditions that guarantee that the zeros of Fredholm operator value d H-P-functions satisfy the Blaschke condition.