Binormal, Complex Symmetric Operators
Caleb Holleman, Thaddeus McClatchey, and Derek Thompson
TL;DR
This paper explores the relationship between binormal and complex symmetric operators, providing conditions for when an operator possesses both properties and examining related transforms and properties.
Contribution
It establishes necessary and sufficient conditions linking binormal and complex symmetric operators, and investigates their connections to Duggal and Aluthge transforms.
Findings
Conditions for operators to be both binormal and complex symmetric
Connections between these operators and Duggal/Aluthge transforms
Additional properties of binormal, complex symmetric operators
Abstract
In this paper, we describe necessary and sufficient conditions for a binormal or complex symmetric operator to have the other property. Along the way, we find connections to the Duggal and Aluthge transforms, and give further properties of binormal, complex symmetric operators.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Algebra and Geometry