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2014 Perturbation of m-Isometries by Nilpotent Operators
Teresa Bermúdez, Antonio Martinón, Vladimir Müller, Juan Agustín Noda
Abstr. Appl. Anal. 2014: 1-6 (2014). DOI: 10.1155/2014/745479


We prove that if T is an m-isometry on a Hilbert space and Q an n-nilpotent operator commuting with T, then T+Q is a 2n+m-2-isometry. Moreover, we show that a similar result for m, q-isometries on Banach spaces is not true.


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Teresa Bermúdez. Antonio Martinón. Vladimir Müller. Juan Agustín Noda. "Perturbation of m-Isometries by Nilpotent Operators." Abstr. Appl. Anal. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023000
MathSciNet: MR3261227
Digital Object Identifier: 10.1155/2014/745479

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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