A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators

A Note on the Operator Equation Generalizing the Notion of Slant Hankel Operators

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 387–395

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n4.6

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 4 : pp. 387–395

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Hankel operators slant Hankel operators generalized slant Toeplitz operators spectrum of an operator.