Perturbation of -Isometries by Nilpotent Operators

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

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AAA/2014/745479.pdf (application/pdf)
http://downloads.hindawi.com/journals/AAA/2014/745479.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:745479

DOI: 10.1155/2014/745479

Access Statistics for this article

More articles in Abstract and Applied Analysis from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem (mohamed.abdelhakeem@hindawi.com).