The Joint Range of Quadratic Mapping on Hilbert Space
Huu-Quang Nguyen
TL;DR
This paper introduces a new elementary method for analyzing the convex structure of the joint range of quadratic mappings in Hilbert spaces, providing insights into their geometric properties.
Contribution
The paper presents a novel, elementary approach to understanding the convexity of quadratic mappings' joint range in Hilbert spaces, advancing theoretical analysis.
Findings
Revealed convex structure in quadratic mappings
Developed elementary analytical method
Enhanced understanding of Hilbert space mappings
Abstract
We present a novel technical method for analyzing the hidden convex structure embedded in the joint range of a quadratic mapping defined on a Hilbert space. Our approach stands out by relying exclusively on elementary mathematical principles.
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Taxonomy
TopicsAnalytic and geometric function theory · Optimization and Variational Analysis · Holomorphic and Operator Theory