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Separability of Real Normed Spaces and Its Basic Properties Cover

Separability of Real Normed Spaces and Its Basic Properties

Open Access
|Mar 2015

References

  1. [1] Jonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals., 9():565–582, 2001.
  2. [2] Grzegorz Bancerek. Cardinal numbers., 1():377–382, 1990.
  3. [3] Grzegorz Bancerek. Cardinal arithmetics., 1():543–547, 1990.
  4. [4] Grzegorz Bancerek. König’s theorem., 1():589–593, 1990.
  5. [5] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41–46, 1990.
  6. [6] Grzegorz Bancerek. The ordinal numbers., 1():91–96, 1990.
  7. [7] Nicolas Bourbaki. Topological vector spaces: Chapters 1-5., 1981.
  8. [8] Czesław Byliński. The complex numbers., 1():507–513, 1990.
  9. [9] Czesław Byliński. Functions and their basic properties., 1(): 55–65, 1990.
  10. [10] Czesław Byliński. Functions from a set to a set., 1():153–164, 1990.
  11. [11] Czesław Byliński. Partial functions., 1():357–367, 1990.
  12. [12] Czesław Byliński. Some basic properties of sets., 1():47–53, 1990.
  13. [13] Agata Darmochwał. Finite sets., 1():165–167, 1990.
  14. [14] N. J. Dunford and T. Schwartz.. Interscience Publ., 1958.
  15. [15] Noboru Endou, Yasunari Shidama, and Katsumasa Okamura. Baire’s category theorem and some spaces generated from real normed space., 14(): 213–219, 2006. doi:10.2478/v10037-006-0024-x.
  16. [16] Andrey Kolmogorov and Sergei Fomin.. Martino Fine Books, 2012.
  17. [17] Andrzej Kondracki. Basic properties of rational numbers., 1(): 841–845, 1990.
  18. [18] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces., 1():335–342, 1990.
  19. [19] Kazuhisa Nakasho, Yuichi Futa, and Yasunari Shidama. Topological properties of real normed space., 22():209–223, 2014. doi:10.2478/forma-2014-0024.
  20. [20] Keiko Narita, Noboru Endou, and Yasunari Shidama. Dual spaces and Hahn-Banach theorem., 22():69–77, 2014. doi:10.2478/forma-2014-0007.
  21. [21] Keiko Narita, Noboru Endou, and Yasunari Shidama. Bidual spaces and reflexivity of real normed spaces., 22():303–311, 2014. doi:10.2478/forma-2014-0030.
  22. [22] Bogdan Nowak and Andrzej Trybulec. Hahn-Banach theorem., 4():29–34, 1993.
  23. [23] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions., 1():223–230, 1990.
  24. [24] Jan Popiołek. Real normed space., 2():111–115, 1991.
  25. [25] Yasunari Shidama. Banach space of bounded linear operators., 12():39–48, 2004.
  26. [26] Andrzej Trybulec. Domains and their Cartesian products., 1(): 115–122, 1990.
  27. [27] Wojciech A. Trybulec. Subspaces and cosets of subspaces in real linear space., 1():297–301, 1990.
  28. [28] Wojciech A. Trybulec. Vectors in real linear space., 1():291–296, 1990.
  29. [29] Wojciech A. Trybulec. Linear combinations in real linear space., 1():581–588, 1990.
  30. [30] Wojciech A. Trybulec. Basis of real linear space., 1():847–850, 1990.
  31. [31] Zinaida Trybulec. Properties of subsets., 1():67–71, 1990.
  32. [32] Edmund Woronowicz. Relations and their basic properties., 1():73–83, 1990.
  33. [33] Edmund Woronowicz. Relations defined on sets., 1():181–186, 1990.
  34. [34] Kosaku Yoshida.. Springer, 1980.
DOI: https://doi.org/10.2478/forma-2015-0005 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 59 - 65
Submitted on: Feb 26, 2015
Published on: Mar 31, 2015
Published by: University of Białystok
In partnership with: Paradigm Publishing Services

© 2015 Kazuhisa Nakasho, Noboru Endou, published by University of Białystok
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