Non-published papers are available in PDF format. You can also download abstracts of published papers and follow the links to the full contents. If you have problems getting a copy of published papers, please contact me at: aperis@mat.upv.es
 
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Book

   Karl-Goswin Grosse-Erdmann and Alfred Peris Manguillot, Linear Chaos. Universitext. Springer, London, 2011. xii+386 pp. ISBN: 978-1-4471-2169-5. DOI: 10.1007/978-1-4471-2170-1

Link to the book

 

 

 

 

 

 

 

 

 

Articles

71.-M. Murillo-Arcila, A. Peris, Strong mixing measures for $C_0$-semigroups. Preprint (arXiv:1303.0327).

Abstract    Link to article

 

70.-N.C. Bernardes Jr., A. Peris, On the existence of polynomials with chaotic behaviour, J. Funct. Spaces Appl. 2013 (2013), Article ID 320961, 6 pages. DOI: 10.1155/2013/320961

Abstract    Link to article

 

69.-N.C. Bernardes Jr., A. Bonilla, V. Müller, A. Peris, Distributional chaos for linear operators, J. Funct. Anal. 265 (2013), 2143-2163. DOI: 10.1016/j.jfa.2013.06.019

Abstract    Link to article

 

68.-R.R. Jiménez-Munguía, R.A. Martínez-Avendaño, A. Peris, Some questions about subspace-hypercyclic operators, J. Math. Anal. Appl. 408 (2013), 209-212. DOI: 10.1016/j.jmaa.2013.05.068

Abstract    Link to article

 

67.-A. Albanese, X. Barrachina, E. Mangino, A. Peris, Distributional chaos for strongly continuous semigroups of operators, Commun. Pure Appl. Anal. 12 (2013), 2069-2082. DOI: 10.3934/cpaa.2013.12.2069

Abstract    Link to article

 

66.-F. Martínez-Giménez, P. Oprocha, A. Peris, Distributional chaos for operators with full scrambled sets, Math. Z. 274 (2013), 603-612. DOI: 10.1007/s00209-012-1087-8

Abstract    Link to article

 

65.-M. Murillo-Arcila, A. Peris, Mixing properties for nonautonomous linear dynamics and invariant sets, Appl. Math. Lett. 26 (2013), 215-218. DOI: 10.1016/j.aml.2012.08.014

Abstract    Link to article

 

64.-M. Murillo-Arcila, A. Peris, Strong mixing measures for linear operators and frequent hypercyclicity, J. Math. Anal. Appl. 398 (2013), 462-465. DOI: 10.1016/j.jmaa.2012.08.050

Abstract    Link to article

 

63.-S. G. Kim, A. Peris, H. G. Song, Numerically hypercyclic polynomials, Arch. Math. 99 (2012), 443-452. DOI: 10.1007/s00013-012-0445-4

Abstract    Link to article

 

62.-J. Bès, Ö. Martin, A. Peris, S. Shkarin, Disjoint mixing operators, J. Funct. Anal. 263 (2012), 1283-1322. DOI: 10.1016/j.jfa.2012.05.018

Abstract    Link to article

 

61.-J. Aroza, A. Peris, Chaotic behaviour of birth-and-death models with proliferation, J. Difference Equ. Appl. 18 (2012), 647-655. DOI: 10.1080/10236198.2011.631535

Abstract    Link to article

 

60.-S. G. Kim, A. Peris, H. G. Song, Numerically hypercyclic operators, Integral Equations Operator Theory 72 (2012), 393-402. DOI: 10.1007/s00020-012-1944-1

Abstract    Link to article

 

59.-X. Barrachina, A. Peris, Distributionally chaotic translation semigroups, J. Difference Equ. Appl. 18 (2012), 751-761. DOI: 10.1080/10236198.2011.625945

Abstract    Link to article

 

58.-M. De la Rosa, L. Frerick, S. Grivaux, A. Peris, Frequent hypercyclicity, chaos, and unconditional Schauder decompositions, Israel Journal of Mathematics 190 (2012), 389–399. (arXiv:1005.1416v1 [math.FA]). DOI: 10.1007/s11856-011-0210-6

Abstract    Link to article

 

57.-S. Bartoll, F. Martínez-Giménez, A. Peris, The specification property for backward shifts, J. Difference Equ. Appl. 18 (2012), 599-605. DOI: 10.1080/10236198.2011.586636

Abstract    Link to article

 

56.-J. Bès, O. Martin, A. Peris, Disjoint hypercyclic linear fractional composition operators, J. Math. Anal. Appl. 381 (2011), 843-856. DOI: 10.1016/j.jmaa.2011.03.072

Abstract    Link to article

 

55.-A. Peris, Three-space-problems and small ball properties for Fréchet spaces, Funct. Approx. Comment. Math. 44 (2011), 265-271.

Abstract    pdf file

 

54.-E. Mangino, A. Peris, Frequently hypercyclic semigroups, Studia Math. 202 (2011), 227-242. DOI: 10.4064/sm202-3-2

Abstract    Link to article

 

53.-T. Bermúdez, A. Bonilla, F. Martínez-Giménez, A. Peris, Li-Yorke and distributionally chaotic operators, J. Math. Anal. Appl. 373 (2011), 83-93. DOI: 10.1016/j.jmaa.2010.06.011

Abstract    Link to article

 

52.-J. A. Conejero, A. Peris and M. Trujillo, Chaotic asymptotic behavior of the hyperbolic heat transfer equation solutions, Int. J. Bifurcation and Chaos 20 (2010), 2943--2947. DOI: 10.1142/S0218127410027489

Abstract    Link to article

 

51.-K.G. Grosse-Erdmann and A. Peris, Weakly mixing operators on topological vector spaces, RACSAM 104 (2010), 413--426. DOI: 10.5052/RACSAM.2010.25

Abstract    Link to article

 

50.-F. Martínez-Giménez and A. Peris, Chaotic polynomials on sequence and function spaces, Int. J. Bifurcation and Chaos 20 (2010), 2861--2867. DOI: 10.1142/S0218127410027416

Abstract    Link to article

 

49.-M.C. Gómez-Collado, F. Martínez-Giménez, A. Peris, F. Rodenas, Slow growth for universal harmonic functions, J. Inequal. Appl. 2010, Article ID 253690, (2010), 6 pp. DOI: 10.1155/2010/253690

Abstract    Link to article

 

48.-R. Aron, J.A. Conejero, A. Peris, J.B. Seoane-Sepúlveda, Uncountably generated algebras of everywhere surjective functions, Bull. Belg. Math. Soc. Simon Stevin 17 (2010), 571-575.

Abstract    Link to article

 

47.-J.A. Conejero, A. Peris, Hypercyclic translation C_0-semigroups on complex sectors, Discrete Contin. Dyn. Syst. 25 (2009), 1195-1208.

Abstract    Link to article

 

46.-F. Martínez-Giménez, A. Peris, Existence of hypercyclic polynomials on complex Fréchet spaces, Top. Appl. 156 (2009), 3007-3010.

Abstract    Link to article

 

45.-J.L García-Guirao, D. Kiewtniak, M. Lampart, P. Oprocha, A. Peris, Chaos on hyperspaces, Nonlinear Anal. 71 (2009), 1-8.

Abstract    Link to article

 

44.-F. Martínez-Giménez, P. Oprocha, A. Peris, Distributional chaos for backward shifts, J. Math. Anal. Appl. 351 (2009), 607-615.

Abstract    Link to article

 

43.-R.M. Aron, J.A. Conejero, A. Peris, J.B. Seoane-Sepúlveda, Sums and products of bad functions, Function Spaces (Ed. K. Jarosz), Contemp. Math. 435 (2007), 47-52.

Abstract    Link to publication

 

42.-J.A. Conejero, A. Peris, Chaotic translation semigroups, Discrete Contin. Dyn. Syst. suppl. 2007 (2007), 269-276.

Abstract    Link to article

 

41.-(*) J. Bès, A. Peris, Disjointness in hypercyclicity, J. Math. Anal. Appl. 336 (2007), 297-315.

Abstract    Link to article

(*) (See also the paper of L. Bernal-González "Disjoint hypercyclic operators, Studia Math. 182 (2007), 113-131.")

 

40.-R. Aron, J.A. Conejero, A. Peris, J.B. Seoane-Sepúlveda, Powers of hypercyclic functions for some classical hypercyclic operators, Integr. Equat. Oper. Theory 58 (2007), 591-596.

Abstract    Link to article

 

39.-J.A. Conejero, V. Müller, A. Peris, Hypercyclic behaviour of operators in a hypercyclic C_0-semigroup, J. Funct. Anal. 244 (2007), 342-348.

Abstract    Link to article

 

38.-J. Antonino-Daviu, M. Riera-Guasp, J. Roger-Folch, F. Martínez-Giménez, A. Peris, Application and optimization of the discrete wavelet transform for the detection of broken rotor bars in induction machines, Appl. Comput. Harmon. Anal. 21 (2006), 268-279

Abstract    Link to article

 

37.-K.G. Grosse-Erdmann, A. Peris, Frequently dense orbits, C. R. Acad. Sci. Paris, Ser. I Mathematique 341 (2005), 123-128.

Abstract

 

36.-(*) A. Peris, Set-valued discrete chaos, Chaos, Solitons and Fractals 26 (2005), 19-23.

Abstract

(*) (See also the paper of John Banks "Chaos for induced hyperspace maps, Chaos, Solitons and Fractals 25 (2005), 681-685.")

 

35.-J.A. Conejero, A. Peris, Linear transitivity criteria, Top. Appl. 153 (2005), 767-773.

Abstract

 

34.-R. Aron, J. Bès, F. León, A. Peris, Operators with common hypercyclic subspaces, J. Oper. Theory 54 (2005), 251-260.

Abstract

 

33.-T. Bermúdez, A. Bonilla, J.A. Conejero, A. Peris, Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces, Studia Math. 170 (2005), 57-75.

Abstract    Link to article

 

32.-J. Bonet, L. Frerick, A. Peris, J. Wengenroth, Transitive and hypercyclic operators on locally convex spaces, Bull. London Math. Soc. 37 (2005), 254-264.

Abstract

 

31.-J. Bonet, F. Martínez-Giménez, A. Peris, Universal and chaotic multipliers on spaces of operators, J. Math. Anal. Appl. 297 (2004), 599-611.

Abstract

 

30.-(*) A. Peris, L. Saldivia, Syndetically hypercyclic operators, Integr. Equ. Oper. Theory 51 (2005), 275-281.

Abstract

(*) (See also the paper of Sophie Grivaux "Hypercyclic operators, mixing operators, and the bounded steps problem, J. Oper. Theory 54 (2005), 147-168.")

 

29.-T. Bermúdez, A. Bonilla, A. Peris, On hypercyclicity and supercyclicity criteria, Bull. Aust. Math. Soc. 70 (2004), 45-54.

Abstract    Link to article

 

28.-L. Frerick, A. Peris, Small ball properties for Fréchet spaces, Rev. R. Acad. Cien. Serie A Mat. (RACSAM) 97 (2003), 257-261.

Abstract 

 

27.-A. Peris, Chaotic polynomials on Banach spaces, J. Math. Anal. Appl. 287 (2003), 487-493.

Abstract 

 

26.-J. Bonet, F. Martínez-Giménez, A. Peris, Linear chaos on Fréchet spaces, Int. J. of Bifurcation and Chaos 13 (2003), 1649-1655.

Abstract    Link to article

 

25.-F. Martínez-Giménez, A. Peris, Universality and chaos for tensor products of operators, J. Approx. Theory 124 (2003), 7-24.

Abstract

 

24.-G. Costakis, A. Peris, Hypercyclic semigroups and somewhere dense orbits, C. R. Acad. Sci. Paris,  Ser. I 335 (2002), 895-898.

Abstract

 

23.-(*) F. Martínez-Giménez, A. Peris, Chaos for backward shift operators, Int. J. of Bifurcation and Chaos 12 (2002), 1703-1715.

Abstract    Link to article

(*) (See also the paper of Karl G. Grosse-Erdmann "Hypercyclic and chaotic weighted shifts, Studia Math. 139 (2000), 47-68.")

 

22.-T. Bermúdez, A. Bonilla, A. Peris, C-supercyclic versus R^+-supercyclic operators, Arch. Math. 79 (2002), 125-130.

Abstract

 

21.-A. Peris, Hypercyclicity criteria and the Mittag-Leffler theorem, Bull. Soc. Roy. Sci. Liége 70 (2001), 365-371.

Abstract

 

20.-A. Peris, Erratum to "Chaotic polynomials on Fréchet spaces" [Proc. Amer. Math. Soc. 127 (1999), 3601-3603], Proc. Amer. Math. Soc. 129 (2001), 3759-3760.

Abstract

 

19.-(*) A. Peris, Multi-hypercyclic operators are hypercyclic, Math. Z. 236 (2001), 779-786.

Abstract    Link to article

(*) (See also the paper of George Costakis "On a conjecture of D. Herrero concerning hypercyclic operators, C. R. Acad. Sci. Paris, Ser. I 330 (2000) 179-182.")

 

18.-J. Bonet, F. Martínez-Giménez, A. Peris, A Banach space which admits no chaotic operator, Bull. London Math. Soc. 33 (2001), 196-198.

Abstract

 

17.-J. Bès, A. Peris, Hereditarily hypercyclic operators, J. Funct. Anal. 167 (1999), 94-112.

Abstract

 

16.-A. Peris, Transitivity, dense orbit and discontinuous functions, Bull. of the Belgian Math. Soc. 6 (1999), 391-394.

Abstract

 

15.-J. Bonet, A. Peris, Hypercyclic operators on non-normable Fréchet spaces, J. Funct. Anal. 159 (1998), 587-595.

Abstract

 

14.-A. Defant, A. Peris, Transfer arguments for spaces of operators and tensor products, Note di Mat. 17 (1997), 197-207 [Proc. of the II Workshop on Functional Analysis at Trier University, Editors S. Dierolf and P. Domanski].

Abstract

 

13.-A. Defant, A. Peris, Maurey's extension theorem and Grothendieck's problème des topologies, J. London Math. Soc. 58 (1998), 679-696.

Abstract

 

12.-A. Peris, A note on tensor products of compact diagonal operators, Bull. Soc. Roy. Sci. Liège 66 (1997), 405-407.

Abstract

 

11.-A. Peris, The factorization problem for operators mapping Fréchet spaces into (DF)-spaces, Proc. of the I workshop on Functional Analysis at Trier University, Eds.: S. Dierolf, S. Dineen and P. Domanski] Walter de Gruyter & Co., Berlin-New York, 1996, 353-363.

Abstract

 

10.-A. Peris, M. J. Rivera, Localization of bounded sets in tensor products, Rev. Mat. Univ. Complutense Madrid 9 (1996), 111-130.

Abstract

 

9.-C. Boyd, A. Peris, A projective description of the Nachbin-ported topology, J. Math. Anal. Appl. 197 (1996), 635-657.

Abstract

 

8.-J. Bonet, A. Defant, A. Peris, M. S. Ramanujan, Coincidence of topologies on tensor products of Koethe echelon spaces, Studia Math. 111 (1994), 263-281.

Abstract

 

7.-A. Peris, Fréchet Schwartz spaces and approximation properties, Math. Annalen 300 (1994), 739-744.

Abstract

 

6.-A. Peris, Quasinormable spaces and the problem of topologies of Grothendieck, Ann. Acad. Sci. Fenn. Ser. A I 19 (1994), 263-281.

Abstract

 

5.-A. Peris, Topological tensor products of a Fréchet-Schwartz space and a Banach space, Studia Math. 106 (1993), 189-196.

Abstract

 

4.-K. D. Bierstedt, J. Bonet, A. Peris, Vector-valued holomorphic germs on Fréchet-Schwartz spaces, Proc. Roy. Irish Acad. 94A (1994), 31-46.

Abstract

 

3.-A. Galbis, A. Peris, Some questions of Heinrich on ultrapowers of locally convex spaces, Math. Nachr. 161 (1993), 271-282.

Abstract

 

2.-A. Peris, Some results on Fréchet spaces with the density condition, Arch. Math. 59 (1992), 286-293.

Abstract

 

1.-J. Bonet, A. Peris, On the injective tensor product of quasinormable spaces, Results in Math. 20 (1991), 431-442.

Abstract