A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators
| dc.contributor.author | Cowen, Carl C. | |
| dc.contributor.author | Gallardo-Gutiérrez, Eva A. | |
| dc.date.accessioned | 2019-03-07T15:54:00Z | |
| dc.date.available | 2019-03-07T15:54:00Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | A striking result by Nordgren, Rosenthal and Wintrobe states that the Invariant Subspace Problem is equivalent to the fact that any minimal invariant subspace for a composition operator Cφ induced by a hyperbolic automorphism φ of the unit disc D acting on the classical Hardy space H² is one dimensional. We provide a completely different proof of Nordgren, Rosenthal and Wintrobe’s Theorem based on analytic Toeplitz operators. | en_US |
| dc.identifier.citation | Cowen, Carl & Gallardo-Gutierrez, Eva. (2017). A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators. In F. Botelho, R. King, and T. S. S. R. K. Rao (Eds.) Problems and Recent Methods in Operator Theory (687, pp 97-102). American Mathematical Society. http://dx.doi.org/10.1090/conm/687/13727 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/18546 | |
| dc.language.iso | en | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.relation.isversionof | 10.1090/conm/687/13727 | |
| dc.subject | universal operators | en_US |
| dc.subject | Nordgren, Rosenthal and Wintrobe's Theorem | en_US |
| dc.subject | proof | en_US |
| dc.title | A new proof of a Nordgren, Rosenthal and Wintrobe Theorem on universal operators | en_US |
| dc.type | Book chapter | en_US |