Binormal, Complex Symmetric Operators

2017/05/13 by Holleman, Caleb, McClatchey, Thaddeus, Thompson, Derek · 2 citations
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1705.04882

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.

Cited by

• Binormal block Toeplitz operators with matrix valued circulant symbols
• Weakly centered weighted composition operators in L²-spaces

Related

• Mind Duggal Transforms
• Some new classes of complex symmetric operators
• Complex symmetric operator acting between two different Hilbert spaces
• Complex symmetric composition operators induced by linear fractional transformations
• Which weighted composition operators are complex symmetric?