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A note on the spectrum of an upper triangular operator matrix |
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| Authors: | Mohamed Barraa Mohamed Boumazgour |
| Affiliation: | Département de Mathématiques, Faculté des Sciences Semlalia, B.P 2390, Marrakech, Maroc ; Département de Mathématiques, Faculté des Sciences Semlalia, B.P 2390, Marrakech, Maroc |
| Abstract: | Let ![$M_C= [begin{smallmatrix} A& C 0 & B end{smallmatrix}] $](http://www.ams.org/proc/2003-131-10/S0002-9939-03-06862-X/gif-abstract0/img1.gif){kind=small} be a  upper triangular operator matrix acting on the Banach space  . We investigate the set of the operators  for which  , where  denotes the spectrum. |
| Keywords: | Spectrum $2times 2$ upper triangular operator matrix generalized derivation |
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