Hypercyclic operators are subspace hypercyclic
Copyright policy ) Nareen Bamerni; Nareen Bamerni; Vladimir Kadets; Adem Kılıçman;
Hypercyclic operators are subspace hypercyclic
Abstract In this short note, we prove that for a dense set A ⊂ X ( X is a Banach space) there is a non-trivial closed subspace M ⊂ X such that A ∩ M is dense in M . We use this result to answer a question posed in Madore and Martinez-Avendano (2011) [9] . In particular, we show that every hypercyclic operator is subspace-hypercyclic.
- University of Duhok Iraq
- Universiti Putra Malaysia Malaysia
- V.N. Karazin Kharkiv National University Ukraine
Hypercyclicity, Subspace-hypercyclicity
Hypercyclicity, Subspace-hypercyclicity
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).15 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 15
Top 10%
Top 10%
Top 10%
hybrid
Beta
Fields of Science
Related to Research communities