Some inequalities for $(α, β)$-normal operators in Hilbert spaces
| dc.creator | Dragomir, Sever S. | |
| dc.creator | Moslehian, Mohammad Sal | |
| dc.date | 2007-08-13 | |
| dc.date | 2008-04-30 | |
| dc.date.accessioned | 2026-07-07T09:35:42Z | |
| dc.date.available | 2026-07-07T09:35:42Z | |
| dc.description | An operator $T$ acting on a Hilbert space is called $(α,β)$-normal ($0\leq α\leq 1\leq β$) if \begin{equation*} α^{2}T^{\ast }T\leq TT^{\ast}\leq β^{2}T^{\ast}T. \end{equation*} In this paper we establish various inequalities between the operator norm and its numerical radius of $(α,β)$-normal operators in Hilbert spaces. For this purpose, we employ some classical inequalities for vectors in inner product spaces. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1657 | |
| dc.identifier | http://arxiv.org/abs/0708.1657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159915 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A12 | |
| dc.title | Some inequalities for $(α, β)$-normal operators in Hilbert spaces | |
| dc.type | text |