Have a personal or library account? Click to login
Differentiation in Normed Spaces Cover

Differentiation in Normed Spaces

Formalized Mathematics
Volume 21 (2013): Issue 2 (June 2013)
By: Noboru Endou and  Yasunari Shidama  
Open Access
|Jun 2013

References

  1. [1] Grzegorz Bancerek. Konig’s theorem. Formalized Mathematics, 1(3):589-593, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
    Search in Google Scholar
  4. [4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.
    Search in Google Scholar
  5. [5] Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.
    Search in Google Scholar
  7. [7] Czesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
    Search in Google Scholar
  8. [8] Czesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
    Search in Google Scholar
  9. [9] Czesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
    Search in Google Scholar
  10. [10] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
    Search in Google Scholar
  11. [11] Hiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces. Formalized Mathematics, 12(3):321-327, 2004.
    Search in Google Scholar
  12. [12] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269-275, 2004.
    Search in Google Scholar
  13. [13] Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.
    Search in Google Scholar
  14. [14] Laurent Schwartz. Cours d’analyse. Hermann, 1981.
    Search in Google Scholar
  15. [15] Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004.
    Search in Google Scholar
  16. [16] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.
    Search in Google Scholar
  17. [17] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
    Search in Google Scholar
  18. [18] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
    Search in Google Scholar
  19. [19] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990.
    Search in Google Scholar
  20. [20] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.
    Search in Google Scholar
  21. [21] Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992.
    Search in Google Scholar
DOI: https://doi.org/10.2478/forma-2013-0011 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Journal RSS Feed
Language: English
Page range: 95 - 102
Published on: Jun 1, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
formalization of Fréchet derivative,
Fréchet differentiability
Related subjects:
Mathematics,
General mathematics,
Computer sciences,
Computer sciences, other

© 2013 Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 21 (2013): Issue 2 (June 2013)