Remarks on the differentiability of mappings in linear normed spaces

Josef Kolomý; Václav Zizler

Commentationes Mathematicae Universitatis Carolinae (1967)

  • Volume: 008, Issue: 4, page 691-704
  • ISSN: 0010-2628

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Kolomý, Josef, and Zizler, Václav. "Remarks on the differentiability of mappings in linear normed spaces." Commentationes Mathematicae Universitatis Carolinae 008.4 (1967): 691-704. <http://eudml.org/doc/16243>.

@article{Kolomý1967,
author = {Kolomý, Josef, Zizler, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {functional analysis},
language = {eng},
number = {4},
pages = {691-704},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on the differentiability of mappings in linear normed spaces},
url = {http://eudml.org/doc/16243},
volume = {008},
year = {1967},
}

TY - JOUR
AU - Kolomý, Josef
AU - Zizler, Václav
TI - Remarks on the differentiability of mappings in linear normed spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1967
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 008
IS - 4
SP - 691
EP - 704
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/16243
ER -

References

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  1. J. SEBASTIÃO e SILVA, Le calcul différentiel et intégral dans les espaces localement convexes réеls on complexes, Atti dei Lincei 20 (1956), 743-750. (1956) MR0088677
  2. G. MARINESCU, Differentielles de Gâteaux et Fréchet dans les espaces localement convexes, Bull. Math. Soc. Sci. Math. et phys. RPR, 1 (1957), No 1, 77-86. (1957) Zbl0095.31403MR0094676
  3. H. R. FISCHER, Differentialkalkül für nicht-metrische Strukturen, Ann. Acad. Sci. Fenn. H 247 (1957), 1-14. (1957) Zbl0081.11401MR0090779
  4. J. GIL de LAMADRID, Topology of mappings and differentiation-processes, Illinois J. Math. 3 (1959), 408-420. (1959) MR0107193
  5. E. DUBINSKY, Differential equations and differential calculus in Montel spaces, Trans. Am. Math. Soc. 110 (1964), 1-21. (1964) Zbl0119.11802MR0163191
  6. M. SOVA, Some conditions on the differentiability in linear topological spaces, Czech. Math. J. 3 (16), 1966, 339-362. (1966) MR0198197
  7. G. A. REID, Concepts on differentiability and analyticity on certain classes of topological groups, Proc. Cambr. Phil. Soc. 61 (1965), 347-379. (1965) MR0173142
  8. V. I. AUERBUCH O. G. SMOLJANOV, Differencirovanie v linejnych topologičeskich prostranstvach, Dokl. Ak. Nauk SSSR 173 (1967), No 4, 735-738. (1967) MR0215091
  9. H. H. KELLER, Über die Probleme, die bei einer Differentialrechnung in topol. Vektorräume auftreten, H. P. Künzi, A. Pfluger, Festband zum 70. Geburtstag von Rolf Nevalinna. Springer 1966. (1966) MR0223887
  10. M. M. VAJNBERG, Variacionnyje metody issledovanija nelinejnych operatorov, Moskva 1956. (1956) 
  11. J. KOLOMÝ, On the differentiability of mappings in functional spaces, Comment. Math. Univ. Carolinae 8 (1967), No 2, 315-329. (1967) MR0212569
  12. V. ZIZLER, On the differentiability of mappings in Banach spaces, Comment. Math. Univ. Carolinae 8 (1967), No 3, 415-430. (1967) Zbl0179.19101MR0227772
  13. J. KOLOMÝ, A note on the continuity properties of nonlinear operators, Comment. Math. Univ. Carolinae 8 (1967), No 3, 503-514. (1967) MR0222726
  14. F. E. BROWDER, Variational boundary value problems for quasi-linear elliptic equations of arbitrary order, Proc. Nat. Acad. Sci. U. S. A. 50 (1963), No 1, 31-37. (1963) Zbl0117.07102MR0166474
  15. M. A. KRASNOSELSKIJ, Položitelnyje rešenija operatornych unavněnij, Moskva 1962. (1962) 

Citations in EuDML Documents

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  1. Josef Kolomý, On the differentiability of operators and convex functionals
  2. Josef Daneš, Josef Kolomý, On the continuity and differentiability properties of convex functionals
  3. Josef Kolomý, On the continuity properties of nonlinear operators and functionals
  4. Josef Kolomý, On the differentiability of mappings and convex functionals
  5. Zuhair M. Nashed, Higher order differentiability of nonlinear operators on normed spaces. I.
  6. Zuhair M. Nashed, Higher order differentiability of nonlinear operators on normed spaces. II.
  7. Václav Zizler, Banach spaces with the differentiable norms

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