Spectral shorted operators
| dc.creator | Antezana, Jorge | |
| dc.creator | Corach, Gustavo | |
| dc.creator | Stojanoff, Demetrio | |
| dc.date | 2004-10-27 | |
| dc.date.accessioned | 2026-07-07T05:13:44Z | |
| dc.date.available | 2026-07-07T05:13:44Z | |
| dc.description | If $\mathcal H$ is a Hilbert space, $\mathcal S \subseteq \mathcal H$ is a closed subspace of $\mathcal H$, and $A $ is a positive bounded linear operator on $\mathcal H$, the spectral shorted operator $ρ(\mathcal S, A)$ is defined as the infimum of the sequence $Σ(\mathcal S, A^n)^{1/n}$, where $Σ(\mathcal S, B)$ denotes the shorted operator of $B$ to $\mathcal S$. We characterize the left spectral resolution of $ρ(\mathcal S, A)$ and show several properties of this operator, particularly in the case that $\dim \mathcal S = 1$. We use these results to generalize the concept of Kolmogorov complexity for the infinite dimesional case and for non invertible operators. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0410573 | |
| dc.identifier | http://arxiv.org/abs/math/0410573 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73020 | |
| dc.subject | Functional Analysis | |
| dc.subject | Spectral Theory | |
| dc.subject | 47A30 (Primary) 47B15 (Secondary) | |
| dc.title | Spectral shorted operators | |
| dc.type | text |