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We develop and additive, integer-valued degree theory for the class of quasilinear Fredholm mappings. This class is sufficiently large so that within its framework one can study fully nonlinear elliptic boundary value problems. In contrast to the Leary-Schauder degree, which is …
The object of this paper is to define a natural analytic index function on an arbitrary von Neumann algebra relative to an arbitrary ideal. This index map enables us to develop a complete Fredholm and semi-Fredholm theory in this setting which is parallel to classical Fredholm a…
