A Jost-Pais-Type Reduction of Fredholm Determinants and Some Applications

Abstract

We study the analog of semi-separable integral kernels in H of the type (Formula Presented) where -∞ ≤ a < b ≤ ∞, and for a.e. x ∈ (a, b), Fj (x) ∈ B2 (Hj, H) and Gj(x) ∈ B2(H,Hj) such that F j(·) and G j(·) are uniformly measurable, an