Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions

Zahra Kamali; Bahram Khani Robati; Karim Hedayatian

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 2, page 551-563
  • ISSN: 0011-4642

Abstract

top
In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.

How to cite

top

Kamali, Zahra, Robati, Bahram Khani, and Hedayatian, Karim. "Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions." Czechoslovak Mathematical Journal 61.2 (2011): 551-563. <http://eudml.org/doc/196532>.

@article{Kamali2011,
abstract = {In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.},
author = {Kamali, Zahra, Robati, Bahram Khani, Hedayatian, Karim},
journal = {Czechoslovak Mathematical Journal},
keywords = {hypercyclicity; supercyclicity; cyclicity; weighted composition operators; hypercyclicity; supercyclicity; cyclicity; weighted composition operators},
language = {eng},
number = {2},
pages = {551-563},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions},
url = {http://eudml.org/doc/196532},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Kamali, Zahra
AU - Robati, Bahram Khani
AU - Hedayatian, Karim
TI - Cyclicity of the adjoint of weighted composition operators on the Hilbert space of analytic functions
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 551
EP - 563
AB - In this paper, we discuss the hypercyclicity, supercyclicity and cyclicity of the adjoint of a weighted composition operator on a Hilbert space of analytic functions.
LA - eng
KW - hypercyclicity; supercyclicity; cyclicity; weighted composition operators; hypercyclicity; supercyclicity; cyclicity; weighted composition operators
UR - http://eudml.org/doc/196532
ER -

References

top
  1. Bayart, F., Matheron, E., Dynamics of Linear Operators. Cambridge Tracts in Mathematics 179, Cambridge University Press Cambridge (2009). (2009) MR2533318
  2. Bourdon, P. S., Shapiro, J. H., Cyclic Phenomena for Composition Operators, Mem. Am. Math. Soc. 596 (1997). (1997) Zbl0996.47032MR1396955
  3. Bourdon, P. S., Shapiro, J. H., 10.1090/S0002-9947-00-02648-9, Trans. Am. Math. Soc. 352 (2000), 5293-5316. (2000) Zbl0960.47003MR1778507DOI10.1090/S0002-9947-00-02648-9
  4. Cowen, C. C., MacCluer, B. D., Composition Operators on Spaces of Analytic Functions. Studies in Advanced Mathematics, CRC Press Boca Raton (1995). (1995) MR1397026
  5. Feldman, N. S., Miller, V. G., Miller, T. L., Hypercyclic and supercyclic cohyponormal operators, Acta Sci. Math. 68 (2002), 303-328. (2002) Zbl0997.47004MR1916583
  6. Forelli, F., 10.4153/CJM-1964-068-3, Can. J. Math. 16 (1964), 721-728. (1964) MR0169081DOI10.4153/CJM-1964-068-3
  7. Gethner, R. M., Shapiro, J. H., 10.1090/S0002-9939-1987-0884467-4, Proc. Am. Math. Soc. 100 (1987), 281-288. (1987) Zbl0618.30031MR0884467DOI10.1090/S0002-9939-1987-0884467-4
  8. Godefroy, G., Shapiro, J. H., 10.1016/0022-1236(91)90078-J, J. Funct. Anal. 98 (1991), 229-269. (1991) Zbl0732.47016MR1111569DOI10.1016/0022-1236(91)90078-J
  9. Kitai, C., Invariant closed sets for linear operators, Thesis Univ. of Toronto Toronto (1982). (1982) MR2632793
  10. Rolewicz, S., 10.4064/sm-32-1-17-22, Stud. Math. 32 (1969), 17-22. (1969) Zbl0174.44203MR0241956DOI10.4064/sm-32-1-17-22
  11. Salas, H. N., 10.1090/S0002-9947-1995-1249890-6, Trans. Am. Math. Soc. 347 (1995), 993-1004. (1995) Zbl0822.47030MR1249890DOI10.1090/S0002-9947-1995-1249890-6
  12. Salas, H. N., 10.4064/sm-135-1-55-74, Stud. Math. 135 (1999), 55-74. (1999) Zbl0940.47005MR1686371DOI10.4064/sm-135-1-55-74
  13. Shapiro, J. H., Composition Operators and Classical Function Theory. Tracts in Mathematics, Springer New York (1993). (1993) MR1237406
  14. Yousefi, B., Haghkhah, S., 10.1007/s10587-007-0093-1, Czech. Math. J. 57 (2007), 1035-1041. (2007) Zbl1174.47312MR2356938DOI10.1007/s10587-007-0093-1
  15. Yousefi, B., Rezaei, H., 10.1090/S0002-9939-07-08833-8, Proc. Am. Math. Soc. 135 (2007), 3263-3271. (2007) Zbl1129.47010MR2322758DOI10.1090/S0002-9939-07-08833-8

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.