k^{th} order Slant Hankel Operators on the Polydisk
Functional Analysis
2023-06-07 v1 Operator Algebras
Abstract
In this paper, we initiate the notion of k^{th} order slant Hankel operators on L^2(T^n) for k greater than or equal to 2 and n greater than or equal to 1 where T^n denotes the n-torus. We give the necessary and sufficient condition for a bounded operator on L^2(T^n) to be a k^{th} order slant Hankel and discuss their commutative, compactness, hyponormal and isometric property.
Keywords
Cite
@article{arxiv.2202.09366,
title = {k^{th} order Slant Hankel Operators on the Polydisk},
author = {M. P. Singh and Oinam Nilbir Singh},
journal= {arXiv preprint arXiv:2202.09366},
year = {2023}
}