author nipkow Fri Aug 28 18:52:41 2009 +0200 (2009-08-28) changeset 32436 10cd49e0c067 parent 31795 be3e1cc5005c child 36862 952b2b102a0a permissions -rw-r--r--
Turned "x <= y ==> sup x y = y" (and relatives) into simp rules
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```    14 <H3>The Hahn-Banach Theorem for Real Vector Spaces (Isabelle/Isar)</H3>
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```    16 Author: Gertrud Bauer, Technische Universit&auml;t M&uuml;nchen<P>
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```    18 This directory contains the proof of the Hahn-Banach theorem for real vectorspaces,
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```    19 following H. Heuser, Funktionalanalysis, p. 228 -232.
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```    20 The Hahn-Banach theorem is one of the fundamental theorems of functioal analysis.
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```    21 It is a conclusion of Zorn's lemma.<P>
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```    23 Two different formaulations of the theorem are presented, one for general real vectorspaces
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```    24 and its application to normed vectorspaces. <P>
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```    26 The theorem says, that every continous linearform, defined on arbitrary subspaces
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```    27 (not only one-dimensional subspaces), can be extended to a continous linearform on
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```    28 the whole vectorspace.
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```    31 <HR>
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```    33 <ADDRESS>
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```    34 <A NAME="bauerg@in.tum.de" HREF="mailto:bauerg@in.tum.de">bauerg@in.tum.de</A>
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```    35 </ADDRESS>
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