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Hilbert geometry of polytopes

✍ Scribed by Andreas Bernig

Publisher
Springer
Year
2009
Tongue
English
Weight
141 KB
Volume
92
Category
Article
ISSN
0003-889X

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We study geometric parameters associated with the Banach spaces (R n , β€’ k,q ) normed by x k,q = ( 1 i k | x, a i | \* q ) 1/q , where {a i } i N is a given sequence of N points in R n , 1 k N, 1 q ∞, and {Ξ» \* i } i 1 denotes the decreasing rearrangement of a sequence {Ξ» i } i 1 βŠ‚ R.