isabelle: src/HOL/Hahn_Banach/README.html@9d7cfae95b30 (annotated)

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31795 be3e1cc5005c standard naming conventions for session and theories; wenzelm parents: 29197 diff changeset	7	<TITLE>HOL/Hahn_Banach/README</TITLE>
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7655 21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	11
15283 f21466450330 DOCTYPE declaration added webertj parents: 7927 diff changeset	12	<H3>The Hahn-Banach Theorem for Real Vector Spaces (Isabelle/Isar)</H3>
7655 21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	13
15283 f21466450330 DOCTYPE declaration added webertj parents: 7927 diff changeset	14	Author: Gertrud Bauer, Technische Universität München<P>
7655 21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	15
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	16	This directory contains the proof of the Hahn-Banach theorem for real vectorspaces,
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	17	following H. Heuser, Funktionalanalysis, p. 228 -232.
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	18	The Hahn-Banach theorem is one of the fundamental theorems of functioal analysis.
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	19	It is a conclusion of Zorn's lemma.<P>
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	20
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	21	Two different formaulations of the theorem are presented, one for general real vectorspaces
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	22	and its application to normed vectorspaces. <P>
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	23
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	24	The theorem says, that every continous linearform, defined on arbitrary subspaces
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	25	(not only one-dimensional subspaces), can be extended to a continous linearform on
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	26	the whole vectorspace.
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	27
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	28
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21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	30
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	31	<ADDRESS>
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	32	<A NAME="bauerg@in.tum.de" HREF="mailto:bauerg@in.tum.de">bauerg@in.tum.de</A>
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	33	</ADDRESS>
21b7b0fd41bd The Hahn-Banach theorem for real vectorspaces; wenzelm parents: diff changeset	34
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author	blanchet
	Wed, 02 Jun 2010 15:18:48 +0200
changeset 37321	9d7cfae95b30
parent 36862	952b2b102a0a
permissions	-rw-r--r--