The invariant subspace problem for rank one perturbations
| dc.contributor.author | Tcaciuc, Adi | |
| dc.date.accessioned | 2020-12-16 | |
| dc.date.accessioned | 2022-05-31T01:43:00Z | |
| dc.date.available | 2022-05-31T01:43:00Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We show that for any bounded operator T acting on infinite dimensional, complex Banach space, and for any ε>0, there exists an operator F of rank at most one and norm smaller than ε such that T+F has an invariant subspace of infinite dimension and codimension. A version of this result was proved in \cite{T19} under additional spectral conditions for T or T∗. This solves in full generality the quantitative version of the invariant subspace problem for rank-one perturbations. | |
| dc.format.extent | 440.94KB | |
| dc.format.mimetype | ||
| dc.identifier.citation | Tcaciuc, A. (2019). The invariant subspace problem for rank one perturbations. Duke Mathematical Journal 168(8), 1539-1550, https://doi.org/10.1215/00127094-2018-0071 | |
| dc.identifier.doi | https://doi.org/10.1215/00127094-2018-0071 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14078/2101 | |
| dc.language | English | |
| dc.language.iso | en | |
| dc.rights | All Rights Reserved | |
| dc.subject | functional analysis | |
| dc.title | The invariant subspace problem for rank one perturbations | en |
| dc.type | Article Post-Print |
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