Yossi Lonke

activity

19982026

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Showing 2020Show all

3 papers · 1 filter

math.FA2020

On a question of Pietch

Yossi Lonke

The main result is that a finite dimensional normed space embeds isometrically in $ℓ_{p}$ if and only if it has a discrete Levy $p$ -representation. This provides an alternative an…

math.FA2020

Shadows of Cube Vertices

Yossi Lonke

Suppose that a finite-dimensional cube is orthogonally projected onto a central section of itself by a subspace of one dimension less. Up to dimension $9$ , at least one vertex is p…

math.MG2020

A characterisation of zonoids

Yossi Lonke

Let $K$ be a unit ball of some norm in $R^{n}$ . For an arbitrary direction $u \in R^{n}$ , there is associated a unit-ball $K_{u}$ , which is rotationally invariant with respect to rotation…