4 papers · 1 filter
On Rotationally Symmetric Norms
Yossi Lonke
For two-dimensional norms that generate rotationally-symmetric norms in all higher dimensions, necessary and sufficient conditions are established for them to be subspaces of …
The real part of the complementary error function
Yossi Lonke
It is shown that the real part of the complementary error function is bounded below by 1 in the subset of the complex plane where the principal argument is between and $5π/4…
On a question of Pietch
Yossi Lonke
The main result is that a finite dimensional normed space embeds isometrically in if and only if it has a discrete Levy -representation. This provides an alternative an…
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 , at least one vertex is p…