{"product_id":"dilation-and-model-theory-for-pairs-of-commuting-contraction-operators","title":"Dilation and Model Theory for Pairs of Commuting Contraction Operators","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.","brand":"Gardners","offers":[{"title":"Default Title","offer_id":57483345166709,"sku":"9781009687218","price":115.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0612\/7193\/3106\/files\/9781009687218.jpg?v=1786178483","url":"https:\/\/backstory.london\/products\/dilation-and-model-theory-for-pairs-of-commuting-contraction-operators","provider":"Backstory","version":"1.0","type":"link"}