Some remarks on nonlinear functionals

Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1970)

  • Volume: 011, Issue: 4, page 693-704
  • ISSN: 0010-2628

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Kolomý, Josef. "Some remarks on nonlinear functionals." Commentationes Mathematicae Universitatis Carolinae 011.4 (1970): 693-704. <http://eudml.org/doc/16394>.

@article{Kolomý1970,
author = {Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {693-704},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks on nonlinear functionals},
url = {http://eudml.org/doc/16394},
volume = {011},
year = {1970},
}

TY - JOUR
AU - Kolomý, Josef
TI - Some remarks on nonlinear functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1970
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 011
IS - 4
SP - 693
EP - 704
LA - eng
UR - http://eudml.org/doc/16394
ER -

References

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  1. A. ZYGMUND, Trigonometric Series, Vol. I, Cambridge, 1959. (1959) Zbl0085.05601
  2. J. DANEŠ J. KOLOMÝ, On the continuity and differentiability properties of convex functionals, Comment. Math. Univ. Carolinae 9 (1968), 329-350. (1968) MR0239415
  3. M. M. VAJNBERG, Variational methods for the study of nonlinear operators, Holden-Day, San Francisco, 1964. (1964) Zbl0122.35501MR0176364
  4. G. A. SUCHOMLINOV, Analytičeskije funkcionaly, Bull. Mosk. gos. univ. Ser. A, 1 (1937), 1-19. (1937) 
  5. G. KÖTHE, Topologische lineare Räume I, Springer, 1960. (1960) MR0130551
  6. G. RESTREPO, An infinite dimensional version of a theorem of Bernstein, Proc. Am. Math. Soc. 23 (1969), 193-198. (1969) Zbl0186.18803MR0246092
  7. K. J. PALMER, On the complete continuity of differentiable mappings, Journ. Austr. Math. Soc. 9 (1969), 441-444. (1969) Zbl0174.19303MR0243393
  8. J. KOLOMÝ, On the differentiability of mappings and convex functionals, Comment. Math. Univ. Carolinae 8 (1967), 735-752; correction: ibid., 9 (1968), 197. (1967) MR0243348
  9. J. KOLOMÝ, Differentiability of convex functionals and boundedness of nonlinear operators and functionals, Comment. Math. Univ. Carolinae 10 (1969), 91-114. (1969) MR0248522
  10. J. LINDENSTRAUSS, Weakly compact sets - their topological properties and the Banach spaces they generate, Proc. Symp. Infinite Dim. Topology 1967|Ann. of Math. Studies, Princeton Univ. Press, Princeton, N. J. (to appear). (1967) MR0417761
  11. E. J. McSHANE, Linear functionals on certain Banach spaces, Froc. Am. Math. Soc. 1 (1950), 402-408. (1950) Zbl0039.11802MR0036448
  12. S. MAZUR, Über schwache Konvergenz in den Räumen L p , Stud. Math. 4 (1933), 128-133. (1933) 
  13. R. BELLMAN, On the Riesz representation theorem, Boll. Unione Mat. Italia 20 (1965), 122. (1965) Zbl0125.34404MR0177284
  14. R. C. JAMES, Orthogonality and linear functionals in normed linear spaces, Trans. Am. Math. Soc. 61 (1947), 265-292. (1947) Zbl0037.08001MR0021241
  15. R. BONIC F. REIS, A characterization of Hilbert space, An. Acad. Bras. Cienc. 38 (1966), 239-241. (1966) MR0218877
  16. T. M. FLETT, Points of minimum or maximum norm on smooth surfaces in Banach spaces, J. London Math. Soc. 44 (1969), 583-586. (1969) Zbl0175.14803MR0240622
  17. J. KOLOMÝ, Remarks on nonlinear operators and functionals, Comment. Math. Univ. Carolinae 10 (1969), 391-404. (1969) MR0257738

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