John's Theorem for an Arbitrary Pair of Convex Bodies

By Apostolos Giannopoulos, I. Perissinaki, Antonis Tsolomitis. 2001

52 citations recorded by the source corpus.

Subfields: Applied Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/c86cc0236792ccb67596bd90eaef71ff3ed0498a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yiming Zhao
2. Franz E. Schuster
3. Gaoyong Zhang
4. Deane Yang
5. Erwin Lutwak
6. Monika Ludwig
7. Deping Ye
8. Christoph Haberl

In Molecular Biology

1. Franz E. Schuster
2. Deane Yang
3. Gaoyong Zhang
4. Erwin Lutwak
5. Alexander E. Litvak
6. Mathieu Meyer
7. Alain Pajor
8. Monika Ludwig

Citations in the corpus

• John's Decomposition in the General Case and Applications (2004, background): “In [ 6 ], the authors proved a version of Theorem 3.5, for two smooth enough convex bodies and of Theorem 3.8, when one body is a polytope and the second has a smooth boundary with positive curvature.”
• Volume Inequalities for Subspaces of L p (2004, background): “, Ball [1, 2, 3], Bastero and Romance [5], Giannopoulos and Papadimitrakis [13], Giannopoulos, Milman, and Rudelson [12], Giannopoulos, Perissinaki, and Tsolomitis [14], Schechtman and Schmuckenschläger [40], Schmuckenschläger [41]).”
• An arithmetic proof of John’s ellipsoid theorem (2005, result): “The following is a slight refinement of results of Giannopoulos, Perissinaki and Tsolomitis [7] and Bastero and Romance [3] (Theorem 3).”