The Case of Equality in the Generalized Wielandt Inequality
✍ Scribed by L. Yu. Kolotilina
- Book ID
- 110420208
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 283 KB
- Volume
- 114
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The Kantorovich±Wielandt angle he and the author's operator angle /e are related by cos /e 2 sin he. Here A is an arbitrary symmetric positive de®nite (SPD) matrix. The relationship of these two dierent geometrical perspectives is discussed. An extension to arbitrary nonsingular matrices A is given.
Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl