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The theorem of Schur in the Minkowski plane

✍ Scribed by Rafael López


Book ID
108137908
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
209 KB
Volume
61
Category
Article
ISSN
0393-0440

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The Schur Complement Interlacing Theorem
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On the Brunn-Minkowski theorem
✍ H. Groemer 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 568 KB

Let K 1 and K 2 be n-dimensional convex bodies. If V denotes volume the Brunn-Minkowski theorem in its simplest form states that V(K 1 + K2) 1/"/> V(Ka) ~1" + V(K2) TM, and that equality holds if and only if K a and K 2 are homothetic. We consider the following associated stability problem: If V(K 1