참고문헌
- F. Bayart and E. Matheron, Daynamics of Linear Operators, Cambridge University Press, Cambridge, 2009.
- F. Bayart and E. Matheron, Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces, J. Funct. Anal. 250 (2007), no. 2, 426-441. https://doi.org/10.1016/j.jfa.2007.05.001
- J. Bes and A. Peris, Hereditarily hypercyclic operators, J. Funct. Anal. 167 (1999), no. 1, 94-112. https://doi.org/10.1006/jfan.1999.3437
- P. S. Bourdon and J. H. Shapiro, Cyclic phenomena for composition operators, Mem. Amer. Math. Soc. 125 (1997), no. 596, x+105 pp.
- K. C. Chan and J. H. Shapiro, The cyclic behavior of translation operators on Hilbert spaces of entire functions, Indiana Univ. Math. J. 40 (1991), no. 4, 1421-1449. https://doi.org/10.1512/iumj.1991.40.40064
- R. M. Gethner and J. H. Shapiro, Universal vectors for operators on spaces of holomorphic functions, Proc. Amer. Math. Soc. 100 (1987), no. 2, 281-288. https://doi.org/10.1090/S0002-9939-1987-0884467-4
- S. Grivaux, Hypercyclic operators, mixing operators, and the bounded steps problem, J. Operator Theory 54 (2005), no. 1, 147-168.
- G. Godefroy and J. H. Shapiro, Operators with dense invariant cyclic vector manifolds, J. Funct. Anal. 98 (1991), no. 2, 229-269. https://doi.org/10.1016/0022-1236(91)90078-J
- C. Kitai, Invariant closed sets for linear operators, Ph.D. thesis, Univ. of Toronto, Toronto, 1982.
- A. Peris and L. Salvidia, Syndetically hypercyclic operators, Integral Equations Operator Theory 51 (2005), no. 2, 275-281. https://doi.org/10.1007/s00020-003-1253-9
- H. Rezaei, Notes on dynamics of the adjoint of a weighted composition operator, Taiwanese J. Math. 14 (2010), no. 4, 1377-1384. https://doi.org/10.11650/twjm/1500405954
- S. Rolewicz, On orbits elements, Studia Math. 32 (1969), 17-22. https://doi.org/10.4064/sm-32-1-17-22
- M. de la Rosa and C. Read, A hypercyclic operator whose direct sum is not hypercyclic, preprint, 2006.
- F. Leon-Saavedra and A. Montes-Rodryguez, Linear structure of hypercyclic vectors, J. Funct. Anal. 148 (1997), no. 2, 524-545. https://doi.org/10.1006/jfan.1996.3084
- H. Salas, Hypercyclic weighted shifts, Trans. Amer. Math. Soc. 347 (1995), no. 3, 993-1004. https://doi.org/10.1090/S0002-9947-1995-1249890-6
- J. H. Shapiro, Notes on the dynamics of linear operators, unpublished notes.
- B. Yousefi and H. Rezaei, Hypercyclic property of weighted composition operators, Proc. Amer. Math. Soc. 135 (2007), no. 10, 3263-3271. https://doi.org/10.1090/S0002-9939-07-08833-8