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ON (mk)-HYPERCYCLICITY CRITERION

E. Kim
장전수학회 (Jangjeon Mathematical Society)|2015.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제3호|pp. 337-342|DOI 10.17777/pjms.2015.18.3.010

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참고문헌

키워드

mk-hypercyclicfrequently hypercyclic op- erators
주제분류수학

초록

In this paper, we study a generalization of frequently hyper- cyclicity. Following the lines of the proof of the frequent hypercyclicity criterion, we derive a criterion for the (mk)-hypercyclic operators on a separable F-space.

Abstract

In this paper, we study a generalization of frequently hyper- cyclicity. Following the lines of the proof of the frequent hypercyclicity criterion, we derive a criterion for the (mk)-hypercyclic operators on a separable F-space.

참고문헌 (6)

  1. F. Bayart, "Frequently hypercyclic operators", Trans. Amer. Math. Soc, 358, pp.5083~5117 (2006)
  2. F. Bayart, "Dynamics of Linear Operators", pp.179~ (2009), Camb. Univ. Press
  3. F. Bayart, "(Non)-weakly mixing operators and hypercyclicity sets", Ann. Inst. Fourier (Grenoble), 59(1), pp.1~35 (2009)
  4. A. Bonilla, "Frequently hypercyclic operators and vectors", Ergodic Theory Dynamical Systems, 27, pp.383~404 (2007)
  5. K.-G. Grosse-Erdmann, "Linear Chaos" (2011), Springer Universitext
  6. M. Gupta, "q-frequently hypercyclic operators", Banach J. Math. Anal., 9, pp.114~126 (2015)

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