Dilation and Model Theory for Pairs of Commuting Contraction Operators
€182.90
Product Information
| ISBN | 9781009687218 |
|---|---|
| Publisher | Cambridge University Press |
| Publishing Date | 23/07/2026 |
| Price (excl. tax) | €172.55 |
| Tax | €10.35 |
| Price (incl. tax) | €182.90 |
| Availability | 1 unit in external warehouse |
Product Description
Exactly a decade after the publication of the Sz.-Nagy dilation theorem, Tsuyoshi Ando proved that, just like for a single contractive operator, every commuting pair of Hilbert-space contractions can be lifted to a commuting isometric pair. Although the inspiration for Ando's proof comes from the elegant construction of Schäffer for the single-variable case, his proof did not shed much light on the explicit nature of the dilation operators and the dilation space as did the original Schäffer and Douglas constructions for a single contraction. Consequently, there has been little follow-up in the direction of a more systematic extension of the Sz.-Nagy–Foias dilation and model theory to the bivariate setting. Sixty years since the appearance of Ando's first step comes this thorough systematic treatment of a dilation and model theory for pairs of commuting contractions.