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.