On scalar multiples of hypercyclic operators on non-normable and Separable Fréchet Spaces

Aloyce, Melkiory M.; Kumar, Santosh; Mpimbo, Marco

dc.contributor.author	Aloyce, Melkiory M.
dc.contributor.author	Kumar, Santosh
dc.contributor.author	Mpimbo, Marco
dc.date.accessioned	2022-03-10T06:32:33Z
dc.date.available	2022-03-10T06:32:33Z
dc.date.issued	2019
dc.identifier.issn	0856-1761
dc.identifier.issn	2507-7961
dc.identifier.uri	http://repository.mocu.ac.tz/xmlui/handle/123456789/272
dc.description	Research Article	en_US
dc.description.abstract	In this paper, we proved that if F is a non-normable and separable Fréchet space without a continuous norm, then there exists an operator T ∈L (F) such that λ T is hypercyclic for any λ ∈ ℂ ∖{0} of modulus 1 and has similar set of hypercyclic vectors as T. An illustrative example to the main theorem is also provided.	en_US
dc.description.sponsorship	College of Natural and Applied Sciences, University of Dar es Salaam	en_US
dc.language.iso	en	en_US
dc.publisher	Tanzania Journal of Science	en_US
dc.relation.ispartofseries	Vol. 45;No. 3
dc.subject	Economic Statistics	en_US
dc.title	On scalar multiples of hypercyclic operators on non-normable and Separable Fréchet Spaces	en_US
dc.type	Article	en_US