Norm equalities for operators
| dc.creator | Kadets, Vladimir | |
| dc.creator | Martin, Miguel | |
| dc.creator | Meri, Javier | |
| dc.date | 2006-04-05 | |
| dc.date.accessioned | 2026-07-07T12:03:56Z | |
| dc.date.available | 2026-07-07T12:03:56Z | |
| dc.description | A Banach space $X$ has the Daugavet property if the Daugavet equation $\|\Id + T\|= 1 + \|T\|$ holds for every rank-one operator $T:X \longrightarrow X$. We show that the most natural attempts to introduce new properties by considering other norm equalities for operators (like $\|g(T)\|=f(\|T\|)$ for some functions $f$ and $g$) lead in fact to the Daugavet property of the space. On the other hand there are equations (for example $\|\Id + T\|= \|\Id - T\|$) that lead to new, strictly weaker properties of Banach spaces. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604102 | |
| dc.identifier | http://arxiv.org/abs/math/0604102 | |
| dc.identifier | Indiana Univ. Math. J. 56 (2007), 2385--2412. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/207966 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20 | |
| dc.title | Norm equalities for operators | |
| dc.type | text |