Disjointness of composition operators on H_v⁰ spaces

References

[1] Bernal-González, L.: Disjoint hypercyclic operators, Studia Math. 2 (2007), 113–131.10.4064/sm182-2-2Suche in Google Scholar

[2] Bierstedt, K. D.—Bonet, J.—Galbis, A.: Weighted spaces of holomorphic functions on bounded domains, Michigan Math. J. 40 (1993), 271–297.10.1307/mmj/1029004753Suche in Google Scholar

[3] Bierstedt, K. D.—Bonet, J.—Taskinen J.: Associated weights and spaces of holomorphic functions, Studia Math. 127 (1998), 137–168.10.4064/sm-127-2-137-168Suche in Google Scholar

[4] Bierstedt, K. D.—Meise, R. G.—Summers W. H.: A projective description of weighted inductive limits, Trans. Am. Math. Soc. 272(1) (1982), 107–160.10.1090/S0002-9947-1982-0656483-9Suche in Google Scholar

[5] Bermúdez, T.—Bonilla, A.—Peris A.: On hypercyclicity and supercyclicity criteria, Bull. Austral. Math. Soc. 70 (2004), 45–54.10.1017/S0004972700035802Suche in Google Scholar

[6] Bonet, J.—Domański, P.—Lindström, M.—Taskinen, J.: Composition operators between weighted Banach spaces of analytic functions, J. Aust. Math. Soc. (Ser. A.) 64 (1998), 101–118.10.1017/S1446788700001336Suche in Google Scholar

[7] Bayart, F.—Matheron, E.: Dynamics of Linear Operators, Cambridge University Press, 2009.10.1017/CBO9780511581113Suche in Google Scholar

[8] Bès, J.—Martin, Ö.: Compositional disjoint hypercyclicity equals disjoint supercyclicity, Houston J. Math. 38 (2012) 1149–1163.Suche in Google Scholar

[9] Bès, J.—Martin, Ö.—Peris, A.: Disjoint hypercyclic linear fractional composition operators, J. Math. Appl. 381 (2011), 843–856.10.1016/j.jmaa.2011.03.072Suche in Google Scholar

[10] Bès, J.—Martin, Ö.—Peris, A.—Shkarin, S.: Disjoint mixing operators, J. Funct. Anal. 263 (2012), 1283–1322.10.1016/j.jfa.2012.05.018Suche in Google Scholar

[11] Bès, J.—Peris, A.: Disjointness in hypercyclicity, J. Math. Anal. Appl. 336 (2007), 297–315.10.1016/j.jmaa.2007.02.043Suche in Google Scholar

[12] Bourdon, P.—Shapiro, J. H.: Cyclic phenomena for composition operators, Mem. Amer. Math. Soc. 275 (1997).Suche in Google Scholar

[13] Cowen, C.—MacCluer, B. D.: Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, FL, 1995.Suche in Google Scholar

[14] Furstenberg, H.: Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. Syst. Theory. 1 (1967), 1–49.10.1007/BF01692494Suche in Google Scholar

[15] Gethner, R. M.—Shapiro, J. H.: Univeral vectors for operators on spaces of holomorphic functions, Proc. Amer. Math. Soc. 100 (1987), 281–288.10.1090/S0002-9939-1987-0884467-4Suche in Google Scholar

[16] Grosse-Erdmann, K. G.—Manguillot, A. P.: Linear Chaos, Springer, New York, 2011.10.1007/978-1-4471-2170-1Suche in Google Scholar

[17] Godefroy, G.—Shapiro, J. H.: Operators with dense, invariant, cyclic vector manifolds, J. Funct. Anal. 98 (1991), 229–269.10.1016/0022-1236(91)90078-JSuche in Google Scholar

[18] Kitai, C.: Invariant Closed Sets for Linear Operators, PhD thesis, University of Toronto, 1982.Suche in Google Scholar

[19] Liang, Y.—Zhou, Z.: Disjoint mixing composition operators on the Hardy space in the unit ball, C. R. Math. Acad. Sci. Paris 352(4) (2014), 289–294.10.1016/j.crma.2014.01.017Suche in Google Scholar

[20] Liang, Y.—Zhou, Z.: Disjoint supercyclic weighted composition operators, Bull. Korean Math. Soc. 55(4) (2018), 1137–1147.Suche in Google Scholar

[21] Lusky, W.: On the structure of Hv0(D) and hv0(D), Math. Nachr. 159 (1992), 279–289.10.1002/mana.19921590119Suche in Google Scholar

[22] Martin, Ö.: Disjoint Hypercyclic and Supercyclic Composition Operators, PhD thesis, Bowling Green State University, 2010.Suche in Google Scholar

[23] Miralles, A.—Wolf, E.: Hypercyclic composition operators on Hv0-spaces, Math. Nachr. 286(1) (2012), 34–41.10.1002/mana.201100191Suche in Google Scholar

[24] Salas, H. N.: Dual disjoint hypercyclic operators, J. Math. Anal. Appl. 374 (2011), 106–117.10.1016/j.jmaa.2010.09.003Suche in Google Scholar

[25] Shapiro, J. H.: Composition Operators and Classical Function Theory, Spriger-Verlag, 1993.10.1007/978-1-4612-0887-7Suche in Google Scholar

[26] Shkarin, S.: A short proof of existence of disjoint hypercyclic operators, J. Math. Anal. Appl. 367 (2010), 713–715.10.1016/j.jmaa.2010.01.005Suche in Google Scholar