Abstract
AbstractWe study the cyclic structures of the weighted composition operators and their adjoints on the Fock space $${\mathcal {F}}_2$$
F
2
. A complete characterization of cyclicity which depends on the derivative of the symbol for the composition operator and non-vanishing structure of the weight function is provided. It is further shown that the space fails to support supercyclic adjoint weighted composition operators. As a tool in proving our main results, we also identified eigenvectors of the weighted composition operators in the space which is interest of its own.
Funder
Western Norway University Of Applied Sciences
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics
Reference20 articles.
1. Cambridge Tracts in Math;F Bayart,2009
2. Carroll, T., Gilmore, C.: Weighted composition operators on Fock Spaces and their dynamics. J. Math. Anal. Appl. 502, 125234 (2021)
3. Carswell, B., MacCluer, A., Schuster, A.: Composition operators onthe Fock space. Acta Sci. Math. (Szeged) 69, 871–887 (2003)
4. Clancey, K.F., Rogers, D.D.: Cyclic vectors and seminormal operators. Indiana Univ. Math. J. 27, 689–696 (1978)
5. C̆uc̆ković, Z.̆, Zhao, R.: Weighted composition operator on the Bergman space. J. Lond. Math. Soc. 70(2), 499–511 (2004)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献