Constructing $k$-Kadison-Schwarz maps
Farrukh Mukhamedov, Dariusz Chru\'sci\'nski
TL;DR
This paper investigates k Kadison-Schwarz maps on matrix algebras, providing explicit conditions for their properties in specific classes of maps parameterized by k-positivity.
Contribution
It introduces explicit criteria for k Kadison-Schwarz maps within certain classes of parameterized maps, advancing understanding of their structure.
Findings
Derived explicit conditions for k KS property
Analyzed classes of maps parameterized by k-positivity
Enhanced characterization of k Kadison-Schwarz maps
Abstract
We study k Kadison Schwarz (k KS) mappings on matrix algebras and derive explicit conditions ensuring the k KS property for two classes of maps parameterized by a single k-positive map.
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Taxonomy
TopicsAdvanced Topics in Algebra · Holomorphic and Operator Theory · Advanced Operator Algebra Research