The imaginary point spectrum and hypercyclicity

Semigroup Forum

Volumn 73, Issue 2, 2006, Pages 313-316

  El Mourchid, Samir ^a  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846528658     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00233-005-0533-x     Document Type: Article

References (9)

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2. Banasiak, J. and M. Moszyński, A generalization of Desch-Schappacher-Webb criteria for chaos, J. Discr. Contin. Dyn. Syst. 12, (2005), 959-972.
3. Bayart, F. and S. Grivaux, The role of the unimodular point spectrum in hypercyclicity (preprint 2004)
4. Bayart, F. and S. Grivaux, Frequently hypercyclic operators, Trans. Amer. Math. Soc. (To appear).
5. Desch, W., W. Schappacher and G. F. Webb, Hypercyclic and chaotic semigroups of linear operators, Ergodic Theory Dynam. Systems 17 (1997), 793-819.
6. El Mourchid, S., On a hypercyclicity criterion for strongly continuous semi-groups, J. Discr. Contin. Dyn. Syst. 13 (2005), 271-275.
7. Godefroy, G. and J. H. Shapiro, Operators with dense, invariant, cyclic manifolds, J. Funct. Anal. 98 (1991), 229-269.
8. Grosse-Erdmann, K. G., Recent developments in hypercyclicity, RACSAM 97 (2003), 273-286.
9. Grosse-Erdmann, K. G., Universal families and hypercyclic operators, Bull. Amer. Math. Soc. 36 (1999), 345-381.