본문 바로가기
KERD
논문KCI 등재

On the hereditarily hypercyclic operators

2

조회

0

다운로드

1

인용

0

참고문헌

주제분류수학

초록

Abstract

LetX be a separable Banach space. We give sucientconditions under which T : X ! X is hereditarily hypercyclic.Also, we prove that hereditarily hypercyclicity with respect to aspecial sequence implies the hereditarily hypercyclicity with respectto the entire sequence.

참고문헌 (37)

  1. "On hypercyclicity and supercyclicity cri-teria", 70(1), pp.45~54 (2004)
  2. "Hypercyclic, topologicallymixing and chaotic semigroups on Banach spaces", 170(1), pp.57~75 (2005)
  3. "The range of operators on von Neumann algebras", 13(5), pp.1447~1455 (2002)
  4. "The hypercyclicity criterion forsequences of operators", 157(1), pp.17~32 (2003)
  5. "Thre problems on hypercyclic operators" (1998), Kent State Univer-sity
  6. "Hereditarily hypercyclic operators", 167(1), pp.94~112 (1999)
  7. "Hypercyclic and chaotic convolution operators", 62(1), pp.253~262 (2000)
  8. "Universal and chaotic multiplierson spaces of operators", 297(2), pp.599~611 (2004)
  9. "Orbits of hyponormal operators", 44(2), pp.345~353 (1997)
  10. "Cyclic phenomena for composition operators", 125 (1997)
  11. "Hypercyclic operators that commute with the Bergman backward shift", 352(11), pp.5293~5316 (2000)
  12. "Topologically mixing hypercyclic operators", 132(2), pp.385~389 (2004)
  13. "Composition operators on spaces of analyticfunctions" (1995), CRC Press
  14. "Perturbations of hypercyclic vectors", 273(1), pp.67~74 (2002)
  15. "Universal vectors for operators on spaces ofholomorphic functions", pp.288~ (1987)
  16. "Operators with dense", pp.269~ (1991)
  17. "Hypercyclic operators, mixing operators, and the bounded steps prob-lem", 54(1), pp.147~168 (2005)
  18. "Holomorphic Monster und universelle Funktionen", 176, pp.84~ (1987)
  19. "Universal families and hypercyclic operators", 36(3), pp.345~381 (1999)
  20. "Hypercyclic and chaotic weighted shifts", 139(1), pp.47~68 (2000)
  21. "Invariant closed sets for linear operators Univ. of Toronto" (1982)
  22. "Notes about the hypercyclicity criterion", 53(3), pp.313~319 (2003)
  23. "Hypercyclicity criteria and Mittag-Leer theorem", 70(4-6), pp.365~371 (2001)
  24. "Syndentically hypercyclic operators", 2, pp.275~281 (2005)
  25. "On orbits of elements", 32, pp.17~22 (1969)
  26. "Hypercyclic weighted shifts", 347(3), pp.993~1004 (1995)
  27. "Notes on the dynamics of linear operators"
  28. "Math. Sur-veys", 13, pp.49~128 (1974)
  29. "Unicellularity of the multiplication operator on Banach spaces of formalpower series", 147(3), pp.201~209 (2001)
  30. "Bounded analytic structure of the Banach space of formal power series", 51(3), pp.403~410 (2002)
  31. "Strictly cyclic algebra of operators acting on Banach spacesHp()Czechoslovak", 54(129), pp.261~266 (2004)
  32. "Composition operators on weighted Hardy spaces", 44(3), pp.319~324 (2004)
  33. "On the eighteenth question of Allen Shields", 16(1), pp.37~42 (2005)
  34. "Composition operators on Banach spaces of formalpower series", 6(2), pp.481~487 (2003)
  35. "Cyclicity and unicellularity of the dierentiationoperator on Banach spaces of formal power series", (1), pp.1~7 (2005)
  36. "Hypercyclicity on the algebra of Hilbert-Schmidt oper-ators", 46(1-2), pp.174~180 (2004)
  37. "Some necessary and sucient conditions for hypercyclicity criterion", 115(2), pp.209~216 (2005)

관련 논문AI추천

이 간행물의 다른 논문 (13건)