Total dilations II
β Scribed by Jean-Christophe Bourin
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 118 KB
- Volume
- 374
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## DEDICATED TO GARRETT BIRKHOFF 1, INTRODUCTION Let 9'(K) be the collection of all probability measures on a metrizable compact convex set K. Consider a map T: B(K) + B(K) taking each measure p to a measure pT that is more "spread-out" about the same center of mass. A measure on the set E of extr
An affine manifold is called a manifold with dilations if its holonomy is contained in a group of the form G = N x (A x K) c Aff(@), w h ere N is a nilpotent group acting simply transitively on IEe; K is a compact subgroup, and A is a l-parameter subgroup of "dilations". Suppose (Me, G) is a compact
Using the generalized version of the classical F. and M. Riesz Theorem as given by Gliksberg, Ko nig, and Seever, we obtain a few decomposition theorems for tuples of commuting operators on Hilbert spaces that admit normal dilations whose joint spectra are contained in the unit sphere of C n . Our r