Del 236 i serien Cambridge Tracts in Mathematics
Dilation and Model Theory for Pairs of Commuting Contraction Operators
- Nyhet
Inbunden, Engelska, 2026
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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.
Produktinformation
- Utgivningsdatum2026-07-23
- Mått157 x 235 x 22 mm
- Vikt623 g
- FormatInbunden
- SpråkEngelska
- SerieCambridge Tracts in Mathematics
- Antal sidor316
- FörlagCambridge University Press
- ISBN9781009687218