The Central Ando Dilation and Related Orthogonality Properties
β Scribed by W.S. Li; D. Timotin
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 249 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
β¦ Synopsis
A pair of commuting contractions on a Hilbert space has in general many nonisomorphic minimal unitary dilations. We show that there is a ``distinguished'' one. This can be viewed in many respects as an analogue of the central intertwining lifting in the family of all intertwining liftings of a contraction.
π SIMILAR VOLUMES
Suppose that m(ΞΎ ) is a trigonometric polynomial with period 1 satisfying m(0) = 1 and |m(ΞΎ , is related to the zeros of m(ΞΎ ). In 1995, A. Cohen and R. D. Ryan, "Wavelets and Multiscale Signal Processing," Chapman & Hall, proved that if m(ΞΎ ) has no zeros in [-1 6 , 1 6 ], then Ο(x) is an orthogon