Prof. Petr H�jek. List of Papers

( December 2012)

65. P. H�jek and S. D'Alessandro, Polynomial algebras, preprint.

64. P. H�jek and E. Perneck�, Schauder bases in Lipschitz free spaces, preprint.

63. P. H�jek and J. Talponen, A Note on Kadets-Klee property and Asplund spaces, subm. PAMS.

62. P. H�jek and P. Vivi, Cross-sections of solution funnels, sub. 11.4. 2012, JMAA.

61. P. H�jek and J. Talponen, C^k-smooth approximations of norms in separable Banach spaces, subm. Q.J. Oxford.

60. P. H�jek and A. Proch�zka, C^k-smooth Deville lemma, preprint.

59. P. H�jek and A. Proch�zka, C^k-smooth approximations of LUR norms, to appear in Trans. AMS.

58. Y.S. Choi, P. H�jek and H.J. Lee, Extensions of smooth mappings into biduals and weak continuity, in Adv. Math. 234 (2013), 453--487.

57. P. H�jek and R. Smith, A note on the duality of tensor products, in Expo. Math. 30 (2012), 239--249.

56. P. H�jek, V. Montesinos and V. Zizler, Geometry and Gateaux smoothness in separable Banach spaces, in Operators and Matrices 6 (2012), 201--232.

55. P. H�jek and M. Kraus, Polynomials and identities on real Banach spaces, in J. Math. Anal. Appl. 385 (2012), 1015--1026.

54. P. H�jek and P. Vivi, On \omega-limit sets of ordinary differential equations in Banach spaces, in J. Math. Anal. Appl. 371 (2010), 793--812.

53. P. H�jek and P. Vivi, Some problems on ordinary differential equations in Banach spaces, in RACSAM 104 (2) (2010), 245--255.

52. P. H�jek and M. Johanis, Smooth approximations, in J. Funct. Anal. 259 (2010), 561--582.

51. A. Guirao, P. H�jek, and V. Montesinos, Ranges of smooth operators between Banach spaces, in J. Math. Anal. Appl. 367 (2010), 29--33.

50. P. H�jek and M. Johanis, On Peano's theorem in Banach spaces, in J. Diff. Eq. 249 (2010), 3342--3351.

49. P. H�jek and R. Smith, Operator machines on directed graphs, in Integral Eq. Oper. Th. 67 (2010), 15--31.

48. P. H�jek and V. Montesinos, Boundedness of M-basis, in Isr. J. Math. 177 (2010), 145--154. pdf

47. P. H�jek, G. Lancien and A. Prochazka, Weak* dentability of spaces C([0,&alpha]), in J. Math. Anal. Appl. 353 (2009), 239--243. pdf

46. P. H�jek and M. Johanis, Uniformly Gateaux approximations of Lipschitz functions on c_0(&Gamma), in J. Math. Anal. Appl. 350 (2009), 623-629. pdf

45. J. Borwein, A. Guirao, P. H�jek and J. Vanderwerff, Uniformly convex functions on Banach spaces, in Proc. AMS 137 (2009), 1081--1091. pdf

44. P. H�jek and M. Johanis, Polyhedrality in Orlicz spaces, in Isr. J. Math. 168 (2008), 167--188. pdf

43. M. Ba��k and P. H�jek, Asplund spaces with Mazur intersection property, in J. Funct. Anal. 255 (2008), 2090--2094. pdf

42. P. H�jek and M. Johanis, Bump functions locally dependent on finitely many coordinates, in J. Math. Anal. Appl. 338, no.2 (2008) 1131--1139. pdf

41. R. Deville and P. H�jek, Smooth noncompact operators from C(K), in Isr. J. Math. 162 (2007), 29--56. pdf

40. P. H�jek and R. Haydon, Smooth norms and approximation in Banach spaces of the type C(K), in Q. J. Oxford 58, no.2 (2007) 221--228. pdf

39. A. Guirao and P. H�jek, Monotonicity of Schauder basis under UR or UF renormings, in Positivity 11, no.4 (2007) 627--638. pdf

38. A. Guirao and P. H�jek, On the modululi of convexity, in Proc. AMS 135, no.10 (2007) 3233-3240. pdf

37. P. H�jek and G. Lancien, Various slicing indices on Banach spaces, in Mediterranean J. Math. 4 (2007) 179--190. pdf

36. P. H�jek, G. Lancien and V. Montesinos, Universality of Asplund spaces, in Proc. AMS 135, no.7 (2007), 2031--2035. pdf

35. R. Aron and P. H�jek, Odd degree polynomials on real Banach spaces, in Positivity 11 (2007), 143--153. pdf

34. M. Fabian, P. H�jek, V. Montesinos and V. Zizler, Weakly compact generating and M-bases, in Serdica J. Math. 32 (2006), 277--288. pdf

33. R. Aron and P. H�jek, Zero sets of polynomials in several variables, in Archiv. der Math. 86 (2006), 561--568. pdf

32. P. H�jek and V. Zizler Functions locally dependent on finitely many coordinates, in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A 100 (2006), 147--154. pdf

31. P. H�jek, Smooth partitions of unity on certain C(K) spaces, in Mathematika 52 (2005), 131--138. pdf

30. P. H�jek and J. Rycht��, Renorming the James tree space , in Trans. AMS. 257, No.9 (2005), 3775-3788. pdf

29. R. Deville and P. H�jek, On the range of derivative of Gateaux smooth functions on separable Banach spaces, in Israel J. Math. 145 (2005), 257-269. pdf

28. M. Fabian, P. H�jek, V. Montesinos and V. Zizler, A quantitative version of Krein's theorem, in Rev. Mat. Iberoamericana 21 (2005), 237-248. pdf

27. P. H�jek, Some remarks on biorthogonal systems in Banach spaces, Milan J. Math. 73 (2005), 211-220. pdf

26. P. H�jek and M. Johanis, A renorming characterization of reflexivity, in J. Funct. Anal. 211, (2004), 163--172. pdf

25. P. H�jek and M. Johanis, Isomorphic embeddings and harmonic behaviour of smooth operators, in Israel J. Math. 143, (2004) 299--315. pdf

24. A. Suarez Granero, P. H�jek and V. Montesinos, Convexity and w* compactness in Banach spaces, in Math. Ann. 328, (2004) 625--631. pdf

23. P. H�jek and M. Johanis, Approximation of continuous functions by smooth functions with small derivatives, in Central Europ. J. Math. 1, No. 3, (2003) 284--291. pdf

22. M. Fabian, G. Godefroy, P. H�jek and V. Zizler, Subspaces of Hilbert generated spaces, in J. Funct. Anal. 200, (2003) 301--323. pdf

21. P. H�jek, Smooth norms on certain C(K) spaces, in Proc. AMS 131, No. 7, (2003) 2049--2051. pdf

20. M. Cepedello-Boiso and P. H�jek, Analytic approximations of uniformly continuous functions in real Banach spaces in J. Math. Anal. Appl. 256 (2001), 80--98. pdf

19. P. H�jek and J.G. Llavona, P-continuity on classical Banach spaces in Proc. AMS 128 (2000), 827--830. pdf

18. P. H�jek and S. Troyanski, Analytic norms in Orlicz spaces in Proc. AMS 129 (2000), 713--717. pdf

17. P. H�jek, A remark on S. M. Bates' theorem in Serdica Math. J. 25 (1999), 257--258. pdf

16. P. H�jek, Polynomial algebras on classical Banach spaces in Israel J. Math. 106 (1998), 209--220. pdf

15. P. H�jek, Smooth functions on C(K) in Israel J. Math. 107 (1998), 237--252. pdf

14. R. Deville, V. Fonf and P. H�jek, Analytic and polyhedral approximations of convex bodies in separable polyhedral Banach spaces in Israel J. Math. 105 (1998), 139--154. pdf

13. P. H�jek Smooth functions on c_0 in Israel J. Math. 104 (1998), 17--27. pdf

12. M. Fabian, P. H�jek and V. Zizler, Uniform Eberlein compacta and uniformly Gateaux smooth norms in Serdica Math. J. 23 (1997), 1001--1010. pdf

11. M. Fabian, P. H�jek and V. Zizler, A note on lattice renormings in Comment. Math. Univ. Carolinae 38 (1997), no.2, 263--272. pdf

10. R. Deville, V. Fonf and P. H�jek, Analytic and C^k-smooth approximations of norms in separable Banach spaces in Studia Math. 120, (1996), 61--74. pdf

9. P. H�jek, Dual renormings of Banach spaces in Comment. Math. Univ. Carolinae 37, 2 (1996), 241--253. pdf

8. P. H�jek, On convex functions in c_0(&omega _1) in Collect. Math. 47, 2 (1996), 111--115. pdf

7. P. H�jek, On C^2-smooth norms on c_0 in Mathematika 43 (1996), no. 2, 362--370. pdf

6. P. H�jek, Analytic renormings of C(K) spaces in Serdica Math. J. 22, (1996), 25--28. pdf

5. M. Fabian, P. H�jek and J. Vanderwerff, On smooth variational principles in Banach spaces in J. Math. Anal. and Appl. 197, (1996), 153--172. pdf

4. P. Habala and P. H�jek, Stabilization of polynomials in C. R. Acad. Sci. Paris 320, I (1995), 821--825. pdf

3. P. H�jek and V. Zizler, Remarks on symmetric smooth norms in Bull. Australian Math. Soc. 52, (1995), 225--229. pdf

2. P. H�jek, Smooth norms that depend locally on finitely many coordinates in Proc. AMS 123, 12 (1995), 3817--3821. pdf

1. P. H�jek, Polynomials and injections of Banach spaces into superreflexive spaces in Archiv der Math. 63, (1994), 39--44. pdf