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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.
C. Benhida, and E. H. Zerouali. "Back to RS-SR spectral theory." Banach Center Publications 75.1 (2007): 55-66. <http://eudml.org/doc/281848>.
@article{C2007, abstract = {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.}, author = {C. Benhida, E. H. Zerouali}, journal = {Banach Center Publications}, keywords = {local spectral theory; linear operators; extensions; Aluthge transform}, language = {eng}, number = {1}, pages = {55-66}, title = {Back to RS-SR spectral theory}, url = {http://eudml.org/doc/281848}, volume = {75}, year = {2007}, }
TY - JOUR AU - C. Benhida AU - E. H. Zerouali TI - Back to RS-SR spectral theory JO - Banach Center Publications PY - 2007 VL - 75 IS - 1 SP - 55 EP - 66 AB - 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. LA - eng KW - local spectral theory; linear operators; extensions; Aluthge transform UR - http://eudml.org/doc/281848 ER -