Universal N -Tuples of Operators

作者: Vladimir Müller

DOI: 10.3318/PRIA.2013.113.13

关键词:

摘要: We generalize the classical result of Caradus concerning universal operators to multi-operator setting.

参考文章(6)
Isabelle Chalendar, Jonathan R. Partington, Modern Approaches to the Invariant-Subspace Problem ,(2011)
V. M{üller, F.-H. Vasilescu, Standard models for some commuting multioperators Proceedings of the American Mathematical Society. ,vol. 117, pp. 979- 989 ,(1993) , 10.1090/S0002-9939-1993-1112498-0
R. E. Curto, F. H. Vasilescu, Standard Operator Models in the Polydisc, II Indiana University Mathematics Journal. ,vol. 44, pp. 0- 0 ,(1995) , 10.1512/IUMJ.1995.44.2005
Gelu Popescu, Isometric dilations for infinite sequences of noncommuting operators Transactions of the American Mathematical Society. ,vol. 316, pp. 523- 536 ,(1989) , 10.1090/S0002-9947-1989-0972704-3
Gian-Carlo Rota, On models for linear operators Communications on Pure and Applied Mathematics. ,vol. 13, pp. 469- 472 ,(1960) , 10.1002/CPA.3160130309
S. R. Caradus, Universal operators and invariant subspaces Proceedings of the American Mathematical Society. ,vol. 23, pp. 526- 527 ,(1969) , 10.1090/S0002-9939-1969-0250104-4