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/