Carathéodory balls and norm balls inH
n
={z ε ℂ
n
: ‖z‖1<1} |
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Authors: | Uri Srebro |
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Institution: | (1) Department of Mathematics, Technion—Israel Institute of Technology, 32000 Haifa, Israel |
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Abstract: | It is shown that the only balls in the Carathéodory distance onH
n
={z ε ℂ
n
:‖z‖1<1},n≥2, which are balls with respect to the ℓ1 norm in ℂ
n
are those centered at the origin.
In memory of Albert Pfluger
The research was partially supported by the Fund for the Promotion of Research at the Technion. |
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Keywords: | |
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