Spectrum nonincreasing maps on matrices
Gregor Dolinar, Jinchuan Hou, Bojan Kuzma, Xiaofei Qi
TL;DR
This paper classifies spectrum nonincreasing maps on matrices, which do not increase the spectrum of differences, providing a comprehensive understanding of their structure and properties.
Contribution
It offers a complete classification of spectrum nonincreasing maps on matrices, a previously unexplored class of spectrum-preserving transformations.
Findings
Characterization of spectrum nonincreasing maps
Identification of structural properties of such maps
Extension of spectrum-preserving map theory
Abstract
Maps which do not increase the spectrum on complex matrices in a sense that are classified.
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Taxonomy
TopicsAdvanced Topics in Algebra · advanced mathematical theories · Matrix Theory and Algorithms