Malaysian Journal of Mathematical Sciences, December 2023, Vol. 17, No. 4
Decomposition of $k^{th}$ Order Slant Toeplitz Operators
Singh, K. P., Singh, M. P., and Sanasam, A. J.
Corresponding Email: priyobond@gmail.com
Received date: 25 October 2023
Accepted date: 5 December 2023
Abstract:
In this paper, we establish the block matrix decomposition of $k^{th}$ order slant Toeplitz operators. We also establish some relations between the compressions of $k^{th}$ order slant Toeplitz and $k^{th}$ order slant Hankel operators on $H^2$. In the last section, we introduce the notion of $k^{th}$ order slant Toeplitz graphs.
Keywords: generalized slant Toeplitz operator; generalized slant Hankel operator; block matrix decomposition; $k^{th}$ order slant Toeplitz graphs
