Polynomial Operator Equations in Abstract Spaces and Applications
Ioannis K. Argyros
Gebundenes Buch

Polynomial Operator Equations in Abstract Spaces and Applications

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Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed,...