Utility functions on preordered normed linear spaces

✍ Scribed by Ghanshyam Mehta

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 209 KB
• Volume: 4
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/0893-9659(91)90144-k

✦ Synopsis

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.