Hypercyclicity of Composition Operators on Orlicz Function Spaces
References
- [1] F. Bayart, m-isometries on Banach spaces, Math.Nachr., 284 (17-18) (2011), 2141–2147.<a href="https://doi.org/10.1002/mana.200910029" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1002/mana.200910029</a>
- [2] F. Bayart and E. Atheron, Dynamics of linear operators, Cambridge Tracts in Mathematics 179, (2009).<a href="https://doi.org/10.1017/CBO9780511581113" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1017/CBO9780511581113</a>
- [3] J. P. Bés, Three problem’s on hypercyclic operators, Ph.D. thesis, Bowling Green State University, (1998).
- [4] P. S. Bourdon and J. H. Shapiro, Cyclic phenomena for composition operators, Memoirs Amer. Math. Soc., 596 (1997). ISSN 0065-926610.1090/memo/0596
- [5] C. C. Chen and W. S. Du, Some characterizations of disjoint topological transitivity on orlicz spaces, Journal of Inequalities and Applications, 88(1) (2018).<a href="https://doi.org/10.1186/s13660-018-1681-3590254629706743" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1186/s13660-018-1681-3590254629706743</a>
- [6] C. Chen, C. -H. Chu, Hypercyclic weighted translation on groups, Proc. Amer. Math. Soc., 139(8) (2011), 2839–2846.<a href="https://doi.org/10.1090/S0002-9939-2011-10718-4" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1090/S0002-9939-2011-10718-4</a>
- [7] Y. Cui, H. Hudzic, R. Kumar and R. Maligranda, Composition operators in orlicz spaces, J. Aust. Math. Soc. 76(2) (2004), 189–206.<a href="https://doi.org/10.1017/S1446788700008892" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1017/S1446788700008892</a>
- [8] R. M. Gethner and J. H. Shapiro, Universal vectors for operators on spaces of holomorphic functions, Proc. Amer. Math. Soc., 100(2) (1987), 281–288. ISSN 0019-3577.
- [9] P. Harjulehto and P. Hasto, Orlicz spaces and Generalized Orlicz spaces, Lecture Notes in Mathematics, Springer International Publishing, (2019).<a href="https://doi.org/10.1007/978-3-030-15100-3" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1007/978-3-030-15100-3</a>
- [10] M. R. Jabbarzadeh, Essential norm of composition operator on orlicz space, Turk. J. Math, 34 (2010), 537–542.
- [11] M. R. Jabbarzadeh and Y. Estaremi, essential norm of subtitution operators on Lp − spaces, Indian J Pure Appl Math, 43(3) (2012), 263–278. ISSN 0019-5588
- [12] C. Kitai, Invariant closed sets for linear operators, Thesis, Univ of Toronto, (1982).
- [13] B. S. Komal, S. Gupta, Multiplication operators between orlicz spaces, Integral Equations Operator Theory, 41 (2001), 324-331.<a href="https://doi.org/10.1007/BF01203174" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1007/BF01203174</a>
- [14] B. S. Komal, S. Gupta, Composition operators on orlicz spaces, Indian J. Pure Appl. Math., 32(7) (2001), 1117–1122.
- [15] R. Komar, Composition operators on orlicz spaces, Integral Equ. Oper. Theory, 29(1) (1997), 17–22.<a href="https://doi.org/10.1007/BF01191477" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1007/BF01191477</a>
- [16] A. Kufner, O. John and S. Fuick, Function Spaces, Mechanics: Analysis, Springer Netherlands, (1977).
- [17] M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, Marcel Dekker, Inc. New York, Basel and Hong Kong, (1991).
- [18] S. Rolewicz, On orbits of elements, Studia. Math., 32 (1969), 17–22.<a href="https://doi.org/10.4064/sm-32-1-17-22" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.4064/sm-32-1-17-22</a>
- [19] W. Rudin, Real and complex analysis, MacGraw-Hill Book Company, 1987.
- [20] R. K. Singh and J. S. Manhas, Composition Operators on Function Spaces, Mathematics Studies North-Holland, Vol.(179), (1993).
DOI: https://doi.org/10.2478/mjpaa-2020-0003 | Journal eISSN: 2351-8227
Language: English
Page range: 34 - 41
Submitted on: Dec 31, 2019
Accepted on: Feb 28, 2020
Published on: May 29, 2020
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
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© 2020 F. Jafari, Z. Kamali, published by Sciendo
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