Denseness of Sets of Supercyclic Vectors

Authors :: Kubrusly, C. S.
Source :: Mathematical Proceedings of the Royal Irish Academy, 120A (2020) 7-18
Publication Year :: 2018
Abstract: The sets of strongly supercyclic, weakly l-sequentially supercyclic, weakly sequentially supercyclic, and weakly supercyclic vectors for an arbitrary normed-space operator are all dense in the normed space, regardless the notion of denseness one is considering, provided they are nonempty.

Database :: arXiv
Journal :: Mathematical Proceedings of the Royal Irish Academy, 120A (2020) 7-18
Publication Type :: Report
Accession number :: edsarx.1804.02613
Document Type :: Working Paper

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