Banks, J.: Chaos for induced hyperspace maps. Chaos Solitons Fractals 25(3), 681–685 (2005)
Bauer, W., Sigmund, K.: Topological dynamics of transformations induced on the space of probability measures. Monatsh. Math. 79, 81–92 (1975)
Bayart, F., Matheron, É.: Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. J. Funct. Anal. 250(2), 426–441 (2007)
[+]
Banks, J.: Chaos for induced hyperspace maps. Chaos Solitons Fractals 25(3), 681–685 (2005)
Bauer, W., Sigmund, K.: Topological dynamics of transformations induced on the space of probability measures. Monatsh. Math. 79, 81–92 (1975)
Bayart, F., Matheron, É.: Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. J. Funct. Anal. 250(2), 426–441 (2007)
Bayart, F., Matheron, É.: Dynamics of Linear Operators. Cambridge University Press, Cambridge (2009)
Bermúdez, T., Bonilla, A., Martínez-Giménez, F., Peris, A.: Li-Yorke and distributionally chaotic operators. J. Math. Anal. Appl. 373(1), 83–93 (2011)
Bernardes Jr., N.C., Bonilla, A., Müller, V., Peris, A.: Li-Yorke chaos in linear dynamics. Ergod. Theory Dyn. Syst. 35(6), 1723–1745 (2015)
Bernardes Jr., N.C., Vermersch, R.M.: Hyperspace dynamics of generic maps of the Cantor space. Can. J. Math. 67(2), 330–349 (2015)
Bès, J., Menet, Q., Peris, A., Puig, Y.: Strong transitivity properties for operators. Preprint ( arXiv:1703.03724 )
Bès, J., Peris, A.: Hereditarily hypercyclic operators. J. Funct. Anal. 167(1), 94–112 (1999)
Bonet, J., Frerick, L., Peris, A., Wengenroth, J.: Transitive and hypercyclic operators on locally convex spaces. Bull. Lond. Math. Soc. 37, 254–264 (2005)
de la Rosa, M., Read, C.: A hypercyclic operator whose direct sum $$T \oplus T$$ T ⊕ T is not hypercyclic. J. Oper. Theory 61(2), 369–380 (2009)
Fedeli, A.: On chaotic set-valued discrete dynamical systems. Chaos Solitons Fractals 23(4), 1381–1384 (2005)
Fu, H., Xing, Z.: Mixing properties of set-valued maps on hyperspaces via Furstenberg families. Chaos Solitons Fractals 45(4), 439–443 (2012)
Furstenberg, H.: Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. Math. Syst. Theory 1, 1–49 (1967)
Grivaux, S.: Hypercyclic operators, mixing operators, and the bounded steps problem. J. Oper. Theory 54, 147–168 (2005)
Grosse-Erdmann, K.-G., Peris, A.: Weakly mixing operators on topological vector spaces. Rev. Real Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 104(2), 413–426 (2010)
Grosse-Erdmann, K.-G., Peris, A.: Linear Chaos. Universitext, Springer-Verlag, Berlin (2011)
Guirao, J.L.G., Kwietniak, D., Lampart, M., Oprocha, P., Peris, A.: Chaos on hyperspaces. Nonlinear Anal. 71(1–2), 1–8 (2009)
Hernández, P., King, J., Méndez, H.: Compact sets with dense orbit in $$2^X$$ 2 X . Topol. Proc. 40, 319–330 (2012)
Herzog, G., Lemmert, R.: On universal subsets of Banach spaces. Math. Z. 229(4), 615–619 (1998)
Hou, B., Tian, G., Shi, L.: Some dynamical properties for linear operators. Ill. J. Math. 53(3), 857–864 (2009)
Hou, B., Tian, G., Zhu, S.: Approximation of chaotic operators. J. Oper. Theory 67(2), 469–493 (2012)
Illanes, A., Nadler Jr., S.B.: Hyperspaces: Fundamentals and Recent Advances. Marcel Dekker Inc, New York (1999)
Kupka, J.: On Devaney chaotic induced fuzzy and set-valued dynamical systems. Fuzzy Sets Syst. 177(1), 34–44 (2011)
Kwietniak, D., Oprocha, P.: Topological entropy and chaos for maps induced on hyperspaces. Chaos Solitons Fractals 33(1), 76–86 (2007)
Li, J., Yan, K., Ye, X.: Recurrence properties and disjointness on the induced spaces. Discrete Contin. Dyn. Syst. 35(3), 1059–1073 (2015)
Liao, G., Wang, L., Zhang, Y.: Transitivity, mixing and chaos for a class of set-valued mappings. Sci. China Ser. A Math. 49(1), 1–8 (2006)
Liu, H., Shi, E., Liao, G.: Sensitivity of set-valued discrete systems. Nonlinear Anal. 71(12), 6122–6125 (2009)
Liu, H., Lei, F., Wang, L.: Li-Yorke sensitivity of set-valued discrete systems, J. Appl. Math. (2013). Article number: 260856
Peris, A.: Set-valued discrete chaos. Chaos Solitons Fractals 26(1), 19–23 (2005)
Peris, A., Saldivia, L.: Syndetically hypercyclic operators. Integral Equ. Oper. Theory 51, 275–281 (2005)
Román-Flores, H.: A note on transitivity in set-valued discrete systems. Chaos Solitons Fractals 17(1), 99–104 (2003)
Rudin, W.: Functional Analysis. International Series in Pure and Applied Mathematics, 2nd edn. McGraw-Hill Inc, New York (1991)
Salas, H.: A hypercyclic operator whose adjoint is also hypercyclic. Proc. Am. Math. Soc. 112(3), 765–770 (1991)
Shkarin, S.: Hypercyclic operators on topological vector spaces. J. Lond. Math. Soc. 86, 195–213 (2012)
Wang, Y., Wei, G.: Characterizing mixing, weak mixing and transitivity of induced hyperspace dynamical systems. Topol. Appl. 155(1), 56–68 (2007)
Wang, Y., Wei, G., Campbell, W.H.: Sensitive dependence on initial conditions between dynamical systems and their induced hyperspace dynamical systems. Topol. Appl. 156(4), 803–811 (2009)
Wu, Y., Xue, X., Ji, D.: Linear transitivity on compact connected hyperspace dynamics. Dyn. Syst. Appl. 21(4), 523–534 (2012)
Wu, X., Wang, J., Chen, G.: F-sensitivity and multi-sensitivity of hyperspatial dynamical systems. J. Math. Anal. Appl. 429(1), 16–26 (2015)
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