We calculate the spectral multiplicity of the direct sum T⊕ A of a weighted shift operator T on a Banach space Y which is continuously embedded in and a suitable bounded linear operator A on a Banach space X.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-7, author = {M. T. Karaev}, title = {On the spectral multiplicity of a direct sum of operators}, journal = {Colloquium Mathematicae}, volume = {106}, year = {2006}, pages = {105-112}, zbl = {1100.47030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-7} }
M. T. Karaev. On the spectral multiplicity of a direct sum of operators. Colloquium Mathematicae, Tome 106 (2006) pp. 105-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm104-1-7/