Some properties of Fredholm mappings in Banach analytic manifolds
Copyright policy )Some properties of Fredholm mappings in Banach analytic manifolds
The aim of this paper is to formulate analogues of certain known assertions of the finite dimensional theory connected with the solvability of systems of equations and with the description of solutions, like the theorems of Osgood and Remmert, to the case of holomorphic Fredholm mappings of Banach analytic manifolds. These results and certain supplementary constructions are used to describe the set of fixed points of a holomorphic mapping that leave invariant some domain in a Banach space.
- Hodges University United States
Banach analytic manifolds and spaces, holomorphic Fredholm mappings, Banach analytic manifolds, fixed points, Fredholm structures, holomorphic mapping, Fredholm structures on infinite-dimensional manifolds, Questions of holomorphy and infinite-dimensional manifolds
Banach analytic manifolds and spaces, holomorphic Fredholm mappings, Banach analytic manifolds, fixed points, Fredholm structures, holomorphic mapping, Fredholm structures on infinite-dimensional manifolds, Questions of holomorphy and infinite-dimensional manifolds
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