TY - JOUR
T1 - A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators
JO - Analysis in Theory and Applications
VL - 4
SP - 387
EP - 395
PY - 2016
DA - 2016/10
SN - 32
DO - http://doi.org/10.4208/ata.2016.v32.n4.6
UR - https://global-sci.org/intro/article_detail/ata/4678.html
KW - Hankel operators, slant Hankel operators, generalized slant Toeplitz operators, generalized slant Toeplitz operators, spectrum of an operator.
AB - The operator equation $\lambda M_{\overline z} X = X M_{z^k}$, for $k \geq 2, $ $\lambda \in \mathbb{C}$, is completely solved. Further, some algebraic and spectral properties of the solutions of the equation are discussed.