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@article{Aloyce_Kumar_Mpimbo_2021, title={On Scalar Multiples of Hypercyclic Operators on Non-normable and Separable Fréchet Spaces}, volume={45}, url={https://tjs.udsm.ac.tz/index.php/tjs/article/view/211}, abstractNote={<p>In this paper, we proved that if <em>F</em> is a non-normable and separable Fréchet space without a continuous norm, then there exists an operator <em>T</em> <em>L</em> (<em>F)</em> such that λ<em> T</em> is hypercyclic for any λ &nbsp; {0} of modulus 1 and has similar set of hypercyclic vectors as <em>T.</em> An illustrative example to the main theorem is also provided.</p>}, number={3}, journal={Tanzania Journal of Science}, author={Aloyce, Melkiory M. and Kumar, Santosh and Mpimbo, Marco}, year={2021}, month={Mar.}, pages={431–438} }