2026-06-07T23:46:21Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/246092024-07-12T14:54:44Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Cowen, Carl C.
author
Gallardo Gutiérrez, Eva Antonia
2023-06-18T06:55:51Z
2023-06-18T06:55:51Z
2016
Cowen, C. C., & Gallardo Gutiérrez, E. A. «Rota’s Universal Operators and Invariant Subspaces in Hilbert Spaces». Journal of Functional Analysis, vol. 271, n.o 5, septiembre de 2016, pp. 1130-49. DOI.org (Crossref), https://doi.org/10.1016/j.jfa.2016.05.018.
0022-1236
10.1016/j.jfa.2016.05.018
https://hdl.handle.net/20.500.14352/24609
https//doi.org/10.1016/j.jfa.2016.05.018
http://www.sciencedirect.com/science/article/pii/S0022123616301252
A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operator whose adjoint is universal in the sense of Rota and commutes with a quasi-nilpotent injective compact operator with dense range. In articular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator.
eng
Rota’s universal operators and invariant subspaces in Hilbert spaces
journal article
URL
https://docta.ucm.es/bitstreams/56e8eea2-c4cb-453e-9267-19c48a8e2dfe/download
File
MD5
907bd705aa0fa5006a20044609e2d718
525919
application/pdf
Gallardo28.pdf