Multivariate analogue of slant Toeplitz operators

Authors : Gopal DATT, Shesh PANDEY

Pages : 678-691

Doi:10.15672/hujms.663262

View : 18 | Download : 5

Publication Date : 2021-06-07

Article Type : Research Paper

Abstract :This paper discusses several structural and fundamental properties of the $k^{th}$-order slant Toeplitz operators on the Lebesgue space of the $n$- torus $\mathbb{T}^n$, for integers $k\geq 2$ and $n\geq 1$. We obtain certain equivalent conditions for the commutativity and essential commutativity of these operators. In the last section, we deal with the spectrum of a $k^{th}$-order slant Toeplitz operator on $L^2insert ignore into journalissuearticles values(\mathbb{T}^n);$ and investigate the conditions for such an operator to be an isometry, hyponormal or normal.
Keywords : commutativity, Lebesgue space, slant Toeplitz operators, n dimensional torus