Some properties of a complex symmetric operator
DOI:
https://doi.org/10.56947/amcs.v23.292Keywords:
Hardy-Hilbert Space, Toeplitz operators, Symmetric matrixAbstract
A square matrix with complex entries which is equal to its transpose is called a complex symmetric matrix. Such matrices are found in many areas of pure and applied mathematics. A conjugation on H is defined as a conjugate linear isometric involution C on a Hilbert Space H. A bounded linear operator T : H → H has a complex symmetric matrix with regard to an orthonormal basis if, for every conjugation C on H, T = CT *C. Such an operator is called a Complex symmetric operator. Several characteristics of Complex Symmetric matrices and associated operators are discussed in this article.
Downloads
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Annals of Mathematics and Computer Science
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.