Perturbation of m-Isometries by Nilpotent Operators
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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/745479 |
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