Let X, Y be Banach spaces, S: X → Y and R: Y → X be bounded operators. We investigate common spectral properties of RS and SR. We then apply the result obtained to extensions, Aluthge transforms and upper triangular operator matrices.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-4,
author = {C. Benhida and E. H. Zerouali},
title = {Back to RS-SR spectral theory},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {55-66},
zbl = {1126.47004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-4}
}
C. Benhida; E. H. Zerouali. Back to RS-SR spectral theory. Banach Center Publications, Tome 75 (2007) pp. 55-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-4/