B. Bojarski and G. Khimshiashvili
abstract:
We discuss Fredholm pairs and restricted Grassmannians in Banach spaces with a
view towards developing geometric models of linear conjugation problems with
discontinuous coefficients. It is shown that a considerable part of the
classical theory of Fredholm pairs in Hilbert space can be extended to a wide
class of Banach spaces with contractible general linear group. Some global
geometric and topological properties of arising restricted Grassmannians are
established and relations to the theory of Fredholm structures are described.
Mathematics Subject Classification: 46L80, 58B15
Key words and phrases: Fredholm operator, index, restricted Grassmanian, Fredholm structure