A note on (λ, µ)- slant Hankel operators on L^(T)

Abstract

In this paper, we take up an operator equation µM^*_zX-XM_z² = λX and solve it for λ, µ in C. Its solution yields an important class of slant Hankel operators. After that, we provide certain basic properties of (λ, µ)- slant Hankel operator on the Lebesgue space L² (T) of unit circle T. Finally, we come up with a results for (λ, µ)- slant Hankel operator, which is analogous to classical Kronecker theorem for Hankel matrix