Extension of Finite Rank Operators and Local Structures in Operator Ideals
| dc.creator | Oertel, F. | |
| dc.date | 1999-02-23 | |
| dc.date.accessioned | 2026-07-07T05:28:00Z | |
| dc.date.available | 2026-07-07T05:28:00Z | |
| dc.description | We develop general techniques and present an approach to solve the problem of constructing a maximal Banach ideal $({\frak A},{\bf A)}$ which does not satisfy a transfer of the norm estimation in the principle of local reflexivity to its norm ${\bf A}$. This approach leads us to the investigation of product operator ideals containing ${\frak L}_2$ (the collection of all Hilbertian operators) as a factor. Using the local properties of such operator ideals -- which are typical examples of ideals with property (I) and property (S) --, trace duality and an extension of suitable finite rank operators even enable us to show that ${\frak L}_\infty $ cannot be totally accessible -- answering an open question of Defant and Floret. | |
| dc.description | LaTeX 2e, 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/9902135 | |
| dc.identifier | http://arxiv.org/abs/math/9902135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78142 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46M05, 47D50 (Primary) 47A80 (Secondary) | |
| dc.title | Extension of Finite Rank Operators and Local Structures in Operator Ideals | |
| dc.type | text |