Egoroff's Theorem

Noboru Endou; Yasunari Shidama; Keiko Narita

Formalized Mathematics (2008)

  • Volume: 16, Issue: 1, page 57-63
  • ISSN: 1426-2630

Abstract

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The goal of this article is to prove Egoroff's Theorem [13]. However, there are not enough theorems related to sequence of measurable functions in Mizar Mathematical Library. So we proved many theorems about them. At the end of this article, we showed Egoroff's theorem.MML identifier: MESFUNC8, version: 7.8.10 4.100.1011

How to cite

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Noboru Endou, Yasunari Shidama, and Keiko Narita. "Egoroff's Theorem." Formalized Mathematics 16.1 (2008): 57-63. <http://eudml.org/doc/266637>.

@article{NoboruEndou2008,
abstract = {The goal of this article is to prove Egoroff's Theorem [13]. However, there are not enough theorems related to sequence of measurable functions in Mizar Mathematical Library. So we proved many theorems about them. At the end of this article, we showed Egoroff's theorem.MML identifier: MESFUNC8, version: 7.8.10 4.100.1011},
author = {Noboru Endou, Yasunari Shidama, Keiko Narita},
journal = {Formalized Mathematics},
keywords = {dual space; Hahn-Banach extension},
language = {eng},
number = {1},
pages = {57-63},
title = {Egoroff's Theorem},
url = {http://eudml.org/doc/266637},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Noboru Endou
AU - Yasunari Shidama
AU - Keiko Narita
TI - Egoroff's Theorem
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 1
SP - 57
EP - 63
AB - The goal of this article is to prove Egoroff's Theorem [13]. However, there are not enough theorems related to sequence of measurable functions in Mizar Mathematical Library. So we proved many theorems about them. At the end of this article, we showed Egoroff's theorem.MML identifier: MESFUNC8, version: 7.8.10 4.100.1011
LA - eng
KW - dual space; Hahn-Banach extension
UR - http://eudml.org/doc/266637
ER -

References

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  21. [21] Hiroshi Yamazaki, Noboru Endou, Yasunari Shidama, and Hiroyuki Okazaki. Inferior limit, superior limit and convergence of sequences of extended real numbers. Formalized Mathematics, 15(4):231-236, 2007. 
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Citations in EuDML Documents

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  1. Noboru Endou, Keiko Narita, Yasunari Shidama, Fatou's Lemma and the Lebesgue's Convergence Theorem
  2. Noboru Endou, Keiko Narita, Yasunari Shidama, The Lebesgue Monotone Convergence Theorem
  3. Keiko Narita, Noboru Endou, Yasunari Shidama, Lebesgue's Convergence Theorem of Complex-Valued Function
  4. Keiko Narita, Noboru Endou, Yasunari Shidama, The Measurability of Complex-Valued Functional Sequences
  5. Yasushige Watase, Noboru Endou, Yasunari Shidama, On L p Space Formed by Real-Valued Partial Functions

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