On the geometry of multilinear forms
W.V. Cavalcante, D.M. Pellegrino, E.V. Teixeira
TL;DR
This paper presents a constructive method to fully characterize the extreme points of the unit ball in the space of m-linear forms, enhancing understanding of its geometric structure for theoretical and computational applications.
Contribution
It introduces a new constructive process that determines all extreme points of the unit ball in m-linear form spaces, providing a comprehensive geometric characterization.
Findings
Complete description of extreme points of the unit ball
A finite-step method for geometric analysis
Applicable to computational and theoretical problems
Abstract
We develop a constructive process which determines all extreme points of the unit ball of the space of --linear forms, Our method provides a full characterization of the geometry of that space through finitely many elementary steps, and thus it can be extensively applied in both computational and theoretical problems.
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Taxonomy
TopicsAdvanced Banach Space Theory · Mathematics and Applications · Advanced Numerical Analysis Techniques