Dynamical Systems on Finsler Modules

Volume 4, Issue 1, pp 19--24 http://dx.doi.org/10.22436/jmcs.04.01.03

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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.

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Keywords

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

MSC

•  46H40
•  46L57

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