On a characterization of reflexive Banach spaces

Emilia Perri

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 211-219
  • ISSN: 0041-8994

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Perri, Emilia. "On a characterization of reflexive Banach spaces." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 211-219. <http://eudml.org/doc/107894>.

@article{Perri1983,
author = {Perri, Emilia},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {characterization of reflexive Banach spaces; Cauchy problem; weak solutions; weak derivative},
language = {eng},
pages = {211-219},
publisher = {Seminario Matematico of the University of Padua},
title = {On a characterization of reflexive Banach spaces},
url = {http://eudml.org/doc/107894},
volume = {69},
year = {1983},
}

TY - JOUR
AU - Perri, Emilia
TI - On a characterization of reflexive Banach spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 211
EP - 219
LA - eng
KW - characterization of reflexive Banach spaces; Cauchy problem; weak solutions; weak derivative
UR - http://eudml.org/doc/107894
ER -

References

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  1. [1] E. Hille - R. PHILIPS, Functional analysis and semi-groups, Amer. Math. Soc. Coll. Publ., 31 (1957). Zbl0078.10004MR25077
  2. [2] R.C. James, Characterization of reflexivity, Stu. Math., 23 (1963-64), pp. 205-216. Zbl0113.09303MR170192
  3. [3] J. Dieudonné, Deux exemples singuliers d'équation différentielles, Acta Sci. Math.B (Szeged), 12 (1950), pp. 38-40. Zbl0037.06002MR35397
  4. [4] A. Lasota - J. YORKE, The generic property of existence of solutions of differential equations in Banach spaces, J. Differential Equations, 13 (1973), pp. 1-12. Zbl0259.34070MR335994
  5. [5] F. De Blasi - J. Myjak, Two density properties of ordinary differential equations, Rend. Accad. Naz. Lincei, 61 (1976), pp. 387-391. Zbl0375.34002MR473380
  6. [6] A. Cellina, On the nonexistence of solution of differential equations in nonreflexive spaces, Bull. Am. Math. Soc., 78 (1972), pp. 1069-1072. Zbl0277.34066MR312017
  7. [7] A.V. Godunov, Peano's theorem in Banach spaces, Funct. Anal. Appl., 9 (1975), pp. 53-55. Zbl0314.34059
  8. [8] G. Pianigiani, A density result for differential equations in Banach spaces, Bull. Acad. Pol. Sci., 26, no. 9-10 (1978), pp. 791-793. Zbl0391.34036MR518980
  9. [9] A. Szép, Existence theorem for weak solution of ordinary differential equations in reflexive Banach spaces, Stud. Sci. Math. Hung., 6 (1971), pp. 197-203. Zbl0238.34100MR330688
  10. [10] G.D. Faulkner, On the nonexistence of weak solutions to abstract differential equations in nonreflexive spaces, Nonlin. Anal., 2, no. 4 (1978), pp. 505-508. Zbl0386.34058MR512488

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