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Hypercyclic Functions for Backward and Bilateral Shift Operators
Journal of Mathematics and Statistics
Problem statement: Giving conditions for bilateral forward and unilateral backward shift operators over the weighted space of p-summable formal series to be hypercyclic. This provides a generalization to the case of Hilbert space. Approach: We used hypercyclicity criterion and some preliminary concepts for formal Laurent series and formal power series. Moreover we got benefits of some duality properties of above mentioned spaces. Results: We obtained necessary and sufficient conditions fordoi:10.3844/jmssp.2009.178.182 fatcat:iqsygn7vsbdijprxxi66vkzafq