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Formalized Mathematics

(a computer assisted approach)

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Volume 19, Issue 1 (Jan 2011)

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More on Continuous Functions on Normed Linear Spaces

Hiroyuki Okazaki
  • Shinshu University, Nagano, Japan
/ Noboru Endou
  • Nagano National College of Technology, Japan
/ Yasunari Shidama
  • Shinshu University, Nagano, Japan
Published Online: 2011-07-18 | DOI: https://doi.org/10.2478/v10037-011-0008-3

More on Continuous Functions on Normed Linear Spaces

In this article we formalize the definition and some facts about continuous functions from R into normed linear spaces [14].

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  • [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

  • [4] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.

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  • [6] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

  • [7] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.

  • [8] Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.

  • [9] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.

  • [10] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269-275, 2004.

  • [11] Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.

  • [12] Konrad Raczkowski and Paweł Sadowski. Real function continuity. Formalized Mathematics, 1(4):787-791, 1990.

  • [13] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990.

  • [14] Laurent Schwartz. Cours d'analyse, vol. 1. Hermann Paris, 1967. [Web of Science]

  • [15] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.

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  • [17] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

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  • [19] Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992.

About the article


Published Online: 2011-07-18

Published in Print: 2011-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-011-0008-3. Export Citation

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Citing Articles

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[1]
Keiko Narita, Artur Korniłowicz, and Yasunari Shidama
Formalized Mathematics, 2012, Volume 20, Number 1
[2]
Hiroyuki Okazaki, Noboru Endou, Keiko Narita, and Yasunari Shidama
Formalized Mathematics, 2011, Volume 19, Number 2
[3]
Keiko Narita, Artur Kornilowicz, and Yasunari Shidama
Formalized Mathematics, 2011, Volume 19, Number 4

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