Aspects of Non-commutative Function Theory
Jim Agler, John E. McCarthy
TL;DR
This paper explores non-commutative functions that naturally occur in the context of functions involving multiple matrix variables, providing insights into their properties and applications.
Contribution
It introduces and analyzes aspects of non-commutative function theory, highlighting its foundational concepts and potential implications.
Findings
Characterization of non-commutative functions
Connections to matrix analysis and operator theory
Framework for future research in non-commutative analysis
Abstract
We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.
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