Perturbation of m‐Isometries by Nilpotent Operators

Teresa Bermúdez, Antonio Martinón, Vladimir Müller and Juan Agustín Noda

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/745479

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:745479

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