# Egoroff's Theorem

Noboru Endou; Yasunari Shidama; Keiko Narita

Formalized Mathematics (2008)

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

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topNoboru 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 -

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## Citations in EuDML Documents

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

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