Fraïssé limits in functional analysis

作者: Martino Lupini

DOI: 10.1016/J.AIM.2018.08.012

关键词:

摘要: We provide a unified approach to Fraisse limits in functional analysis, including the Gurarij space, Poulsen simplex, and their noncommutative analogs. obtain this general framework many known new results about space at same time establish Particularly, we construct analogs of universal operators sense Rota.

参考文章(109)
Gerd Wittstock, On Matrix Order and Convexity North-holland Mathematics Studies. ,vol. 90, pp. 175- 188 ,(1984) , 10.1016/S0304-0208(08)71474-9
Marius Junge, Narutaka Ozawa, Zhong-Jin Ruan, On ℒ∞ structures of nuclear C*-algebras Mathematische Annalen. ,vol. 325, pp. 449- 483 ,(2003) , 10.1007/S00208-002-0384-7
P. Wojtaszczyk, Some remarks on the Gurarij space Studia Mathematica. ,vol. 41, pp. 207- 210 ,(1972) , 10.4064/SM-41-2-207-210
Christian Le Merdy, David P. Blecher, Operator Algebras and Their Modules: An Operator Space Approach ,(2005)
Nathanial Brown, Narutaka Ozawa, Narutaka Ozawa, C*-Algebras and Finite-Dimensional Approximations ,(2008)
Itaï Ben Yaacov, Todor Tsankov, Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups Transactions of the American Mathematical Society. ,vol. 368, pp. 8267- 8294 ,(2016) , 10.1090/TRAN/6883
Itaï Ben Yaacov, Alexander Berenstein, C. Ward Henson, Alexander Usvyatsov, Model theory for metric structures Model Theory with Applications to Algebra and Analysis. pp. 315- 427 ,(2008) , 10.1017/CBO9780511735219.011
Kenneth R. Davidson, C*-algebras by example ,(1996)