# Dynamical Systems on Finsler Modules

Volume 4, Issue 1, pp 19--24
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### Authors

M. Hassani - Department of Mathematics, Faculty of sciences, Mashhad Branch, Islamic Azad University, Mashhad, Iran

### Abstract

In this paper we investigate the generalized derivations and show that if E be a simple full Finsler A-module and let $\delta: D(\delta)\subseteq E\rightarrow E$ be a d-derivation.Then either $\delta$ is closable or both of the sets $\{x\pm \delta(x): x\in E\}$ are dense in $E\oplus E$. We also describe dynamical systems on a full Finsler module E over $C^*$- algebra A as a one -parameter group.

### Keywords

• Derivation
• Finsler module
• Hilbert A-module
• Dynamical systems

•  46H40
•  46L57

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