Página web del Grupo de Análisis No Lineal de la Universidad de Sevilla



Luis Bernal Gonz�lez





Art�culos/preprints publicados:



1. Holomorphic operators generating dense images,
Integral Equations and Operator Theory, 60, 1--11, 2008.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Jos� Antonio Prado Bassas.

2. Lineability of sets of nowhere analytic functions,
Journal of Mathematical Analysis and Applications , 340, 1284--1295, 2008.

Luis Bernal Gonz�lez .

3. Dense-lineability in spaces of continuous functions ,
Proceedings of the American Mathematical Society, 136, 3163--3169, 2008.

Luis Bernal Gonz�lez.

4. Large linear manifolds of non-continuable boundary-regular holomorphic functions,
Journal of Mathematical Analysis and Applications, 341, 337--345, 2008.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Wolfgang Luh.

5. Cyclicity of coefficient multipliers: Linearstructure,
Acta Mathematica Hungarica, 114, 287-300, 2007. Acceso a m�s informaci�n

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Jos� Antonio Prado Bassas.

6. Existence and non-existence of hypercyclicsemigroups,
Proceedings of the American Mathematical Society, 135, 755--766, 2007.

Luis Bernal Gonz�lez y Karl-Goswin Grosse-Erdmann.

7. Maximal cluster sets of L-analytic functions onarbitrary curves,
Constructive Approximation, 25, 211--219, 2007. Acceso a m�s informaci�n

Luis Bernal Gonz�lez, Antonio Bonilla, Mar�a del Carmen Calder�n Moreno y Jos� Antonio Prado Bassas.

8. Compositional hypercyclicity equals supercyclicity,
Houston Journal of Mathematics, 33, 581--591, 2007.

Luis Bernal Gonz�lez, Antonio Bonilla y Mar�a del Carmen Calder�n Moreno.

9. Disjoint hypercyclic operators,
Studia Mathematica, 182, 113-131, 2007.

Luis Bernal Gonz�lez.

10. Universal matrix transforms of holomorphic functions,
Houston Journal of Mathematics, 32, 315--324, 2006.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Wolfgang Luh.

11. Hypercyclic subspaces in Fr�chet spaces,
Proceedings of the American Mathematical Society, 134, 1955--1961, 2006.

Luis Bernal Gonz�lez.

12. Linear structure of weighted holomorphicnon-extendibility,
Bulletin of the Australian Mathematical Society, 73, 335--344, 2006.

Luis Bernal Gonz�lez.

13. Interpolation by tamed entire functions,
Mathematica Balkanica (N.S.), 20, 161--166, 2006.

Luis Bernal Gonz�lez.

14. Compositional universality on the unit ball of C^N,
Analysis, 26, 365-372, 2006.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Antonio Bonilla.

15. Universality of entire functions bounded on closed sets ,
Journal of Mathematical Analysis and Applications, 315, 302--316, 2006.

L. Bernal y A. Bonilla.

16. Lacunary non-continuable boundary-regular holomorphic functions with universal properties,
Journal of Contemporary Mathematical Analysis, 41, 27-40, 2006.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno y Wolfgang Luh.

17. U-operators,
Australian Mathematical Society Journal, 78, 59-89, 2005.

Luis Bernal Gonz�lez, Jos� Antonio Prado Tendero.

18. Linear Kierst-Szpilrajn theorems,
Studia Mathematica, 166, 55-69, 2005.

Luis Bernal Gonz�lez.

19. Simultaneously maximal radial cluster sets,
Journal of Approximation Theory, 135, 114-124, 2005. Acceso a m�s informaci�n

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno, Jos� Antonio Prado Bassas.

20. Supercyclic sequences of differential operators,
Acta Mathematica Hungarica, 107, 89-108, 2005.

Luis Bernal Gonz�lez, Jos� Antonio Prado Tendero.

21. Backward $\phi$-shifts and universality,
Journal of Mathematical Analysis and Applications, 315, 180-196, 2005.

Luis Bernal Gonz�lez.

22. Universal entire functions for affine endomorphisms of C-N,
Journal of Mathematical Analysis and Applications, 305, 690-697, 2005.

Luis Bernal Gonz�lez.

23. Universality on higher order Hardy spaces,
Bulletin of the Australian Mathematical Society, 71, 17-28, 2005.

Luis Bernal Gonz�lez, Anotnio Bonilla Ram�rez, Mar�a del Carmen Calder�n Moreno.

24. Universal matrix-overconvergence of non-continuable holomorphic functions,
Analisis Matematica, 31, 235-250, 2005.

L. Bernal Gonzalez, M.C. Calderon Moreno, W. Luh.

25. Maximal cluster sets along arbitrary curves,
Journal of Approximation Theory, 129, 207-216, 2004. Acceso a m�s informaci�n

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno, Jos� Antonio Prado Bassas.

26. Nondenseness of $2$-graphs of equicontinuous families,
Acta Scientiarum Mathematicarum, 70, 839-857, 2004.

Luis Bernal Gonz�lez.

27. Norms of hypercyclic sequences,
Mathematica Pannonica, 15, 221-230, 2004.

Luis Bernal Gonz�lez.

28. Two hyperbolic Schwarz lemmas,
Bulletin of the Australian Mathematical Society, 67, 521-522, 2003.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

29. Universal transforms of the geometric series under generalized Riesz methods,
Computational Methods and Function Theory, 3, 285-297, 2003.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno, Wolfgang Luh.

30. Universality and summability of trigonometric polynomials and trigonometric series,
Periodica Mathematica Hungarica. Journal of the Janos Bolyai Mathematical Society, 46, 119-133, 2003.

Wolfgang Luh, Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

31. Boundary-chaotic behaviour of continuous functions under the action of operators,
Prodeedings of the Edinburgh Mathematical Society, 46, 451-464, 2003.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

32. The hypercyclicity criterion for sequences of operators,
Studia Mathematica, 157, 17-32, 2003.

Luis Bernal Gonz�lez, Karl-Groswin Grosse-Erdmann.

33. Two Hyperbolic Schwarz lemmas,
Bulletin of the Australian Mathematical Society, 66, 17-24, 2002.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

34. Strongly omnipresent operators: general conditions and applications to composition operators,
Australian Mathematical Society, Journal, 72, 335-348, 2002.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno, Karl-Goswin Grosse-Erdmann.

35. Strongly omnipresent integral operators,
Integral Equations and Operator Theory, 44, 397-409, 2002.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno, Karl-Goswin Grosse-Erdmann.

36. Exponential type of hypercyclic entire functions,
Archiv der Mathematik, 78, 283-290, 2002.

Luis Bernal Gonz�lez, Antonio Bonilla Ram�rez.

37. Dense range perturbations of hypercyclic operators,
Colloquium Mathematicum, 91, 283-292, 2002.

Luis Bernal Gonz�lez.

38. Monsters in Hardy and Bergman spaces,
Complex Variables, Theory and Application, 47, 373-382, 2002.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

39. Dense linear manifolds of monsters,
Journal of Approximation Theory, 119, 156-180, 2002.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

40. Sequences of differencial operators: exponentials, hypercyclicity and equicontinuity,
Annales Polonici Mathematici, 77, 169-187, 2001.

Luis Bernal Gonz�lez, Jos� Antonio Prado Tendero .

41. Operators with dense images everywhere,
Journal of Mathematical Analysis and Applications, 263, 95-109, 2001.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

42. Isomodular interpolating sequences,
Rev. Roumaine Math. Pures Appl., , 565-570, 2001.

Luis Bernal Gonz�lez.

43. A note of universal and non-universal invertible selfmappings,
Mathematica Balkanika, , 251-259, 2001.

Luis Bernal Gonz�lez.

44. Multiplicative sequences for universal sequences of mappings,
Mathematica Pannonica, 12, 167-175, 2001.

Luis Bernal Gonz�lez.

45. Universal images of universal elements,
Studia Mathematica, 138, 241-250, 2000.

Luis Bernal Gonz�lez.

46. A note on approximation of holomorphic functions by exponentials ,
Indian Journal of Pure and Applied Mathematics, 31, 573--582, 2000.

Luis Bernal Gonz�lez.

47. Holomorphic T-monsters and strongly omnipresent operators ,
Journal of Approximation Theory, 104, 204-219, 2000.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

48. A Seidel-Walsh theorem with linear differential operators,
Archiv der Mathematic, 62, 367-375, 1999.

Luis Bernal Gonz�lez, Mar�a del Carmen Calder�n Moreno.

49. On hypercyclic operators on Banach spaces,
Proceedings of the American Mathematical Society, 127, 1003--1010, 1999.

Luis Bernal Gonz�lez.

50. Densely hereditarily hypercyclic sequences and large hypercyclic manifolds,
Proceedings of the American Mathematical Society, 127, 3279--3285, 1999.

Luis Bernal Gonz�lez.

51. Holomorphic functions having large images under the action of differential operators ,
Journal of Mathematical Analysis and Applications, 230, 390-399, 1999.

Luis Bernal Gonz�lez.

52. Small entire functions with extremely fast growth,
Journal of Mathematical Analysis and Applications, 207, 541-548, 1997.

Luis Bernal Gonz�lez.

53. On universal functions with zero-free derivatives,
Archiv der Mathematik, 68, 145-150, 1997.

Luis Bernal Gonz�lez.

54. A Schwarz Lemma for convex domains in arbitrary Banach spaces ,
Journal of Mathematical Analysis and Applications, 200, 511-517, 1996.

Luis Bernal Gonz�lez .

55. A lot of 'counterexamples' to Liouville's theorem,
Journal of Mathematical Analysis and Applications, 201, 1002-1009, 1996.

Luis Bernal Gonz�lez.

56. Universal functions for Taylor shifts,
Complex Variables, 31, 121-129, 1996.

Luis Bernal Gonz�lez.

57. Universal functions for composition operators,
Complex Variables, 27, 47-56, 1995.

Luis Bernal Gonz�lez, Alfonso Montes Rodr�guez.

58. Non-finite dimensional closed vector spaces of universal functions for composition operators,
Journal of Approximation Theory, 82, 375-391, 1995.

Luis Bernal Gonz�lez, Alfonso Montes Rodr�guez.

59. Plane sets having dense holomorphic images,
Revue Roumaine de Math�matiques Pures et Appliqu�es, 40, 567-569, 1995.

Luis Bernal Gonz�lez.

60. Derivative and antiderivative operators and the size of complex domains,
Annales Polonici Mathematici, , 267-274, 1994.

Luis Bernal Gonz�lez.

61. The order of a class of meromorphic functions,
Afrika Mathematica, 4, 37-42, 1994.

Luis Bernal Gonz�lez.

62. Omnipresent holomorphic operators and maximal cluster sets,
Colloquium Mathematicum, 63, 315-322, 1992.

Luis Bernal Gonz�lez.

63. Linear independence of iterates of entire functions,
Proceedings of the American Mathematical Society, 112, 1033-1036, 1991.

Luis Bernal Gonz�lez.

64. Una nota sobre sucesiones complejas y equicontinuidad de operadores,
Revue Roumaine de Math�matiques Pures et Appliqu�es, 34, 643-645, 1989.

Luis Bernal Gonz�lez.

65. On a theorem of Hardy and Littlewood,
Proceedings of the American Mathematical Society, 104, 1078-1080, 1988.

Luis Bernal Gonz�lez.

66. On growth $K$-order of solutions of a comlex homogeneous linear differential equation,
Proceedings of the American Mathematical Society, , 317-322, 1987.

Luis Bernal Gonz�lez.

67. Exponente de convergencia generalizado de una sucesi�n compleja,
Collectanea Mathematica, 38, 57-64, 1987.

Luis Bernal Gonz�lez.

68. Funciones con derivadas sucesivas grandes y peque�as por doquier,
Collectanea Mathematica, 38, 317-322, 1987.

Luis Bernal Gonz�lez.

69. 1,
1, 1, 1, 1981. Acceso a m�s informaci�n

1.









Charlas y ponencias:



1. Teoremas lineales de Kierst-Szpilrajn,
Seminario del Departamento de An�lisis Matem�tico de la Universidad de La Laguna, Tenerife, 2004.

Luis Bernal Gonz�lez.

2. Hiperciclicidad de los operadores de composici�n,
Seminario del Departamento de Matem�ticas de la Universidad de Huelva, 2004.

Luis Bernal Gonz�lez.

3. Universalidad y Caos Lineal,
Seminario del Departamento de Matem�ticas de la Universidad de Huelva, 2004.

Luis Bernal Gonz�lez.

4. Monstruos holomorfos y operadores,
Seminario del Departamento de An�lisis Matem�tico de la Universidad Complutense de Madrid, 2002.

Luis Bernal Gonz�lez.

5. Operadores con acci�n fronteriza fuertemente ca�tica,
Seminario del Departamento de Matem�ticas de la Universidad de C�diz, 2001.

Luis Bernal Gonz�lez.

6. Algunos problemas de universalidad e hiperciclicidad,
Seminario del Departamento de An�lisis Matem�tico de la Universidad de La Laguna, Tenerife, 1999.

Luis Bernal Gonz�lez.

7. Variedades grandes de vectores universales,
Seminario del Departamento de Matem�ticas de la Universidad Complutense de Madrid, 1998.

Luis Bernal Gonz�lez.