TY - JOUR
AU - Aloyce, Melkiory M.
AU - Kumar, Santosh
AU - Mpimbo, Marco
PY - 2021/03/08
Y2 - 2024/08/13
TI - On Scalar Multiples of Hypercyclic Operators on Non-normable and Separable Fréchet Spaces
JF - Tanzania Journal of Science
JA - Tanz. J. Sci.
VL - 45
IS - 3
SE - Articles
DO -
UR - https://tjs.udsm.ac.tz/index.php/tjs/article/view/211
SP - 431-438
AB - <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 {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>
ER -