Some properties of a complex symmetric operator

Authors

  • Ritu Kathuria Department of Mathematics, Motilal Nehru College, University of Delhi, India.

DOI:

https://doi.org/10.56947/amcs.v23.292

Keywords:

Hardy-Hilbert Space, Toeplitz operators, Symmetric matrix

Abstract

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.

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Published

2024-04-26

Issue

Section

Articles