## 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
✦ LIBER ✦
Dilations and stochastic processes
✍ Scribed by Oclide José Dotto
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 509 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-247X
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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