On the continuity and differentiability properties of convex functionals

Josef Daneš; Josef Kolomý

Commentationes Mathematicae Universitatis Carolinae (1968)

  • Volume: 009, Issue: 2, page 329-350
  • ISSN: 0010-2628

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Daneš, Josef, and Kolomý, Josef. "On the continuity and differentiability properties of convex functionals." Commentationes Mathematicae Universitatis Carolinae 009.2 (1968): 329-350. <http://eudml.org/doc/16283>.

@article{Daneš1968,
author = {Daneš, Josef, Kolomý, Josef},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {329-350},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the continuity and differentiability properties of convex functionals},
url = {http://eudml.org/doc/16283},
volume = {009},
year = {1968},
}

TY - JOUR
AU - Daneš, Josef
AU - Kolomý, Josef
TI - On the continuity and differentiability properties of convex functionals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1968
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 009
IS - 2
SP - 329
EP - 350
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16283
ER -

References

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  9. A. ZYGMUND, Trigonometric series I, Cambridge 1959. (1959) 
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  12. G. J. MINTY, On the monotonicity of the gradient of a convex function, Pac. J. of Math. 14 (1964), 243-247. (1964) Zbl0123.10601MR0167859
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  14. J. J. MOREAU, Fonctionelles sous-differentiables, C. R. Acad. Sci. 257 (1963), 4117-4119. (1963) MR0158250
  15. A. BRØNDSTED R. T. ROCKAFFELAR, On the subdifferentiability of convex functions, Bull. Amer. Math. Soc. 16 (1965), 605-611. (1965) MR0178103
  16. M. Z. NASHED, Supportably and weakly convex functions with application to approximation theory and nonlinear programming, Journal Math. Anal. and Appl. 18 (1967), No 3, 504-521. (1967) MR0209839
  17. K. YOSIDA, Functional Analysis, Springer 1965. (1965) Zbl0126.11504MR0180824
  18. J. KOLOMÝ, On the differentiability of mappings in functional spaces, Comment. Math. Univ. Carolinae 8 (1967), 315-330. (1967) MR0212569
  19. V. ZIZLER, On the differentiability of mappings in Banach spaces, Comment. Math. Univ. Carolinae 8 (1967), 415-430. (1967) Zbl0179.19101MR0227772
  20. J. KOLOMÝ V. ZIZLER, Remarks on the differentiability of mappings in linear normed spaces, Comment. Math. Univ. Carolinae 8 (1967), 691-704. (1967) MR0234279
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