Every n-dimensional normed space is the space R n endowed with a normal norm
نویسندگان
چکیده
منابع مشابه
Every n-dimensional normed space is the space Rn endowed with a normal norm
A norm ‖ · ‖ on R is said to be absolute if ‖(x, y)‖ = ‖(|x|, |y|)‖ for all (x, y) ∈R, and normalized if ‖(, )‖ = ‖(, )‖ = . The set of all absolute normalized norms onR is denoted by AN. Bonsall and Duncan [] showed the following characterization of absolute normalized norms on R. Namely, the set AN of all absolute normalized norms on R is in a one-to-one correspondence with the s...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2012
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2012-284