Abstract
We prove that if is an -isometry on a Hilbert space and an -nilpotent operator commuting with , then is a -isometry. Moreover, we show that a similar result for -isometries on Banach spaces is not true.
Citation
Teresa Bermúdez. Antonio Martinón. Vladimir Müller. Juan Agustín Noda. "Perturbation of -Isometries by Nilpotent Operators." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/745479