Interpolation of bilinear operators and compactness
Eduardo Brandani da Silva, Dicesar Lass Fernandez
TL;DR
This paper investigates how bilinear operators behave under interpolation of Banach spaces using the a6a0method, extending classical compactness theorems to the bilinear setting.
Contribution
It extends classical compactness results to bilinear operators within the a6a0interpolation framework, providing new insights into their behavior.
Findings
Extended Lions-Peetre, Hayakawa, and Person compactness theorems to bilinear operators
Established relations between bilinear operator compactness and a6a0interpolation methods
Analyzed the impact of the a6a0method on bilinear operator compactness
Abstract
The behavior of bilinear operators acting on interpolation of Banach spaces for the method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's compactness theorems are obtained for the bilinear case and the method.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Numerical Methods in Computational Mathematics · Advanced Mathematical Modeling in Engineering