Quasilinear duality and inversion in Banach spaces
Jes\'us M. F. Castillo, Manuel Gonz\'alez
TL;DR
This paper introduces a unified framework for understanding inversion and duality in Banach spaces, focusing on quasilinear maps and their applications in interpolation theory.
Contribution
It provides a novel unified approach to inversion and duality for quasilinear maps, especially those arising from interpolation methods.
Findings
Unified approach to inversion and duality in Banach spaces
Application to centralizers and differentials in interpolation
Enhanced understanding of quasilinear map structures
Abstract
We present a unified approach to the processes of inversion and duality for quasilinear and -quasilinear maps; in particular, for centralizers and differentials generated by interpolation methods.
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Taxonomy
TopicsNumerical methods for differential equations · Nonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations