On Jung’s constant and related constants in normed linear spaces

Dan Amir*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper several results on certain constants related to the notion of Chebyshev radius are obtained. It is shown in the first part that the Jung constant of a finite-codimensional subspace of a space C(T) is 2, where T is a compact Hausdorff space which is not extremally disconnected. Several consequences are stated, e.g. the fact that every linear projection from a space C(T), T a perfect compact Hausdorff space, onto a finite-codimensional proper subspace has norm at least 2. The second discusses mainly the "self-Jung constant" which measures "uniform normal structure." It is shown that this constant, unlike Jung’s constant, is essentially determined by the finite subsets of the space.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalPacific Journal of Mathematics
Issue number1
StatePublished - May 1985


Dive into the research topics of 'On Jung’s constant and related constants in normed linear spaces'. Together they form a unique fingerprint.

Cite this