scholarly journals Lineability of the set of holomorphic mappings with dense range

2012 ◽  
Vol 210 (2) ◽  
pp. 177-188 ◽  
Author(s):  
Jerónimo López-Salazar
2000 ◽  
Author(s):  
Yiyong Sun ◽  
Joon-Ki Paik ◽  
J.R. Price ◽  
M.A. Abidi

2008 ◽  
Vol 136 (11) ◽  
pp. 3983-3991 ◽  
Author(s):  
Heinz Junek ◽  
Mário C. Matos ◽  
Daniel Pellegrino
Keyword(s):  

2004 ◽  
Vol 70 (1) ◽  
pp. 45-54 ◽  
Author(s):  
Teresa Bermúdez ◽  
Antonio Bonilla ◽  
Alfredo Peris

We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.


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