Charlotte Auerbach (1899-1994).

Charlotte Auerbach - 14 May 1899--17 March 1994.

On a Conjecture by Auerbach

In 1938 Herman Auerbach published a paper where he showed a deep connection between the solutions of the Ulam problem of floating bodies and a class of sets studied by Zindler, that are the planar sets whose bisecting chords have all the same length. In the same paper he conjectured that among Zindler sets the one with minimal area, as well as with maximal perimeter, is given by the so-called “...

Auerbach bases and minimal volume sufficient enlargements

Let BY denote the unit ball of a normed linear space Y . A symmetric, bounded, closed, convex set A in a finite dimensional normed linear space X is called a sufficient enlargement for X if, for an arbitrary isometric embedding of X into a Banach space Y , there exists a linear projection P : Y → X such that P (BY ) ⊂ A. Each finite dimensional normed space has a minimal-volume sufficient enlar...

Charlotte Devantier Jensen.pmd

Charlotte Kristensen Knatten