Premium
Geometric Properties Characteristic of Normed Linear Space
Author(s) -
Murphy Grattan,
Freese Raymond,
Andalafte Edward
Publication year - 1989
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19891410109
Subject(s) - mathematics , normed vector space , characterization (materials science) , associative property , property (philosophy) , space (punctuation) , pure mathematics , computer science , philosophy , materials science , epistemology , nanotechnology , operating system
This paper provides new characterizations of arbitrary, not necessarily rotund, normed linear spaces, using triangle median properties and weakened forms of associativity and the consistent midpoint property. Connections are explored between the methods used here and a characterization announced by A RONSZAJN in 1935.