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On a simple linear functional equation on normed linear spaces

✍ Scribed by N. Brillouët-Belluot

Publisher
Springer
Year
2002
Tongue
English
Weight
314 KB
Volume
63
Category
Article
ISSN
0001-9054

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Utility functions on preordered normed l
Utility functions on preordered normed linear spaces
✍ Ghanshyam Mehta 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 209 KB

This paper proves the existence of B continuous strictly isotone function on a preordered normed linear space. As a corollary, a new and simple proof of the Arrow-Hahn theorem is obtained. The proof is based on the Gltig Lemma of general topology.