A degree theory for compact perturbations of proper  Fredholm mappings of index 0.

Rabier, Patrick J.; Salter, Mary F.

Displaying similar documents to “A degree theory for compact perturbations of proper $C^{1}$ Fredholm mappings of index 0.”

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We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.