We give a simple and easy proof of a result obtained by W. Rehder
who generalized, in his turn, a famous result by Beck and Putnam.
We then give a generalization to unbounded operators.
Publié le : 2010-08-15
Classification:
Beck-Putnam theorem,
Normal Operators,
Spectrum,
Adjoints,
Operator's Matrices,
47A05,
47A62,
47A10
@article{1290608198,
author = {Mortad, Mohammed Hichem},
title = {On a Beck-Putnam-Rehder Theorem},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {17},
number = {1},
year = {2010},
pages = { 737-740},
language = {en},
url = {http://dml.mathdoc.fr/item/1290608198}
}
Mortad, Mohammed Hichem. On a Beck-Putnam-Rehder Theorem. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp. 737-740. http://gdmltest.u-ga.fr/item/1290608198/